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- ...ce]]s with links to their entries in the [[On-Line Encyclopedia of Integer Sequences]]. ...'') :{{=}} ''σ''<sub>1</sub>(''n'')}} is the sum of divisors of a positive integer {{math|''n''}}. ...27 KB (3,099 words) - 13:20, 26 December 2024
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- where ''x''<sub>''n''</sub> is an [[integer]]. Polyphase sequences are an important class of sequences and play important roles in synchronizing sequence design. ...697 bytes (98 words) - 20:02, 5 October 2021
- {{Short description|Type of integer sequence}} ...nce''' is an [[integer sequence]] <math>(a_n)</math> indexed by [[positive integer]]s ''n'' such that ...4 KB (560 words) - 20:20, 11 January 2025
- ...uthor=Lászlo Tóth |title=A survey of gcd-sum functions |journal=J. Integer Sequences |volume=13 |year=2010}}</ref> ...ghan |first1=Kevin |title=The gcd-sum function |journal=Journal of Integer Sequences |date=2002 |volume=4 |issue=Article 01.2.2 |pages=1–19 }}</ref> ...1 KB (207 words) - 15:03, 13 April 2024
- ...[[binomial coefficients]]. For any non-negative integer ''n'' and for any integer ''k'' included between 0 and ''n'', the component in row ''n'' and column ' ...ttp://oeis.org/wiki/Bernoulli%27s_triangle On-Line Encyclopedia of Integer Sequences]</ref> The first rows of Bernoulli's triangle are: ...4 KB (550 words) - 03:30, 18 January 2025
- {{Infobox integer sequence | formula = <i>x<sup>2</sup> + xy + y<sup>2</sup></i> for integer <i>x, y</i> ...3 KB (381 words) - 18:46, 24 January 2025
- ...utch mathematician [[Hendrik Lenstra]] showed that the 43rd term is not an integer.<ref name=":0" /> The least indices at which the ''k''-Göbel sequences assume a non-integral value are ...2 KB (268 words) - 18:29, 1 May 2024
- {{Short description|Type of integer sequence}} ...[[integer sequence]] whose multiples include [[almost all]] integers. The sequences are named after [[Felix Behrend]]. ...5 KB (735 words) - 09:14, 26 February 2025
- ...logy''' is an example of a [[topological space|topology]] on the so-called integer broom space ''X''.<ref name="CEIT">{{Citation|first=L. A.|last=Steen|f == Definition of the integer broom space == ...3 KB (382 words) - 20:22, 7 February 2023
- {{Short description|Property of integer sequences}} ...Jakub |last2=Graff |first2=Grzegorz |last3=Ward |first3=Thomas |title=Dold sequences, periodic points, and dynamics |journal=Bull. Lond. Math. Soc. |date=2021 | ...6 KB (913 words) - 16:01, 20 February 2025
- In [[elementary number theory]], a '''highly powerful number''' is a positive integer that satisfies a property introduced by the Indo-Canadian mathematician [[M Define '''prodex'''(1) = 1. Let <math>n</math> be a positive integer, such that <math> ...2 KB (243 words) - 00:14, 3 April 2024
- ...aph]]s, the '''coordination sequence''' of a vertex <math>v</math> is an [[integer sequence]] that counts how many vertices are at each possible distance from ...ation]] of their centers, but these two choices may give rise to different sequences.{{r|brunner|conslo}} ...5 KB (641 words) - 15:04, 3 March 2024
- ...t the terms of the sequence to be fractions, but surprisingly, a few Somos sequences have the property that all of their members are integers. For an integer number ''k'' larger than 1, the Somos-''k'' sequence <math>(a_0, a_1, a_2, ...6 KB (811 words) - 16:40, 5 February 2025
- {{Short description|Integer sequence in number theory}} ...ggler sequence''' is an [[integer sequence]] that starts with a [[positive integer]] ''a''<sub>0</sub>, with each subsequent term in the sequence defined by t ...5 KB (705 words) - 21:42, 6 October 2024
- {{Short description|Quickly-growing integer sequence}} In mathematics, a [[integer sequence|sequence of positive integers]] ''a''<sub>''n''</sub> is called an ...5 KB (675 words) - 20:15, 29 January 2023
- ...me="Berger">Annabell Berger: ''A Note on the Characterization of Digraphic Sequences'' In: ''Discrete Mathematics'', 2014, pp. 38–41</ref> reinvented this resul A sequence <math>((a_1,b_1 ),\ldots,(a_n,b_n))</math> of nonnegative integer pairs with <math>a_1\geq\cdots\geq a_n</math> is digraphic if and only if < ...4 KB (744 words) - 08:03, 11 March 2023
- == On-line encyclopedia of integer sequences (OEIS) == ...by [[Neil Sloane]], creator of the [[OEIS|On-Line Encyclopedia of Integer Sequences (OEIS)]]. The OEIS entry for this sequence is {{OEIS link|A005132}}. ...5 KB (767 words) - 17:35, 11 February 2025
- ...üchi's problem is equivalent to the following: Does there exist a positive integer ''M'' such that, for all integers ''x'' and ''a'', the quantity (''x''  ...'s problem can be stated in the following way: Does there exist a positive integer ''M'' such that the system of equations ...5 KB (830 words) - 05:59, 5 September 2022
- ...description|Integer where the average of its positive divisors is also an integer}} ...mean|average]] of its [[positive number|positive]] [[divisor]]s is also an integer. For instance, 6 is an arithmetic number because the average of its diviso ...3 KB (367 words) - 00:32, 13 December 2024
- ...et from a collection of sets indexed by finite [[sequence]]s of [[positive integer]]s. ...a^{<\omega} \}</math> of subsets of a set <math>X</math> indexed by finite sequences of non-negative integers. The '''Suslin operation''' applied to this scheme ...3 KB (535 words) - 14:45, 23 February 2025
- ...led the '''Fibonacci factorial''', where {{math|''n''}} is a [[nonnegative integer]], is defined as the product of the first {{math|''n''}} positive [[Fibonac == Sequences == ...3 KB (379 words) - 17:38, 13 May 2024