The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A001700 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A001700

a(n) = binomial(2*n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1.
(history; published version)

#677 by Charles R Greathouse IV at Sun Feb 16 08:32:24 EST 2025

LINKS

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/BinomialCoefficient.html">Binomial Coefficient</a>.

Eric Weisstein's World of Mathematics, <a href="httphttps://mathworld.wolfram.com/OddGraph.html">Odd Graph</a>.

Discussion

Sun Feb 16

08:32

OEIS Server: https://oeis.org/edit/global/3014

#676 by Michael De Vlieger at Mon Jan 20 10:51:03 EST 2025

STATUS

reviewed

approved

#675 by Michel Marcus at Mon Jan 20 10:43:37 EST 2025

STATUS

proposed

reviewed

#674 by Michael De Vlieger at Mon Jan 20 10:10:50 EST 2025

STATUS

editing

proposed

#673 by Michael De Vlieger at Mon Jan 20 10:10:42 EST 2025

LINKS

Paveł Szabłowski, <a href="https://cdm.ucalgary.ca/article/view/76214">Beta distributions whose moment sequences are related to integer sequences listed in the OEIS</a>, Contrib. Disc. Math. (2024) Vol. 19, No. 4, 85-109. See pp. 96, 98-99.

STATUS

approved

editing

#672 by N. J. A. Sloane at Sat Dec 21 00:23:06 EST 2024

STATUS

editing

approved

#671 by N. J. A. Sloane at Sat Dec 21 00:23:03 EST 2024

COMMENTS

a(n) is the number of non-descending sequences with length n and the last number is less or equal to n. a(n) is also the number of integer partitions (of any positive integer) with length n and largest part is less or equal to n. - Zlatko Damijanic, Dec 06 2024

a(n) is the number of integer partitions (of any positive integer) with length n and largest part is less or equal to n. - Zlatko Damijanic, Dec 06 2024

STATUS

proposed

editing

#670 by Michel Marcus at Fri Dec 06 13:32:51 EST 2024

STATUS

editing

proposed

Discussion

Fri Dec 06

14:45

Stefano Spezia: For a comment that extends over several paragraphs, the preferred format is: "From ~~~~: (Start)" followed (starting on a new line) by the comments, then "(End)".

#669 by Michel Marcus at Fri Dec 06 13:32:46 EST 2024

COMMENTS

Also a(n) is the number of non-descending sequences with length n and the last number is less or equal to n. - Zlatko Damijanic, Dec 06 2024

Also a(n) is the number of integer partitions (of any positive integer) with length n and largest part is less or equal to n. - Zlatko Damijanic, Dec 06 2024

STATUS

proposed

editing

#668 by Zlatko Damijanic at Fri Dec 06 13:21:21 EST 2024

STATUS

editing

proposed