The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A204249 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A204249

Permanent of the n-th principal submatrix of A003057.
(history; published version)

#38 by N. J. A. Sloane at Mon Aug 30 21:36:13 EDT 2021

STATUS

proposed

approved

#37 by Zhi-Wei Sun at Mon Aug 30 21:22:09 EDT 2021

STATUS

editing

proposed

#36 by Zhi-Wei Sun at Mon Aug 30 21:21:35 EDT 2021

COMMENTS

I have proved that for any odd prime p we have a(p) == p (mod p^2). - Zhi-Wei Sun, Aug 30, 2021

LINKS

Zhi-Wei Sun, <a href="https://arxiv.org/abs/2108.07723">Arithmetic properties of some permanents</a>, arXiv:2108.07723 [math.GM], 2021.

STATUS

approved

editing

#35 by Vaclav Kotesovec at Sun Jun 13 13:51:37 EDT 2021

STATUS

editing

approved

#34 by Vaclav Kotesovec at Sun Jun 13 13:51:30 EDT 2021

FORMULA

a(n) ~ c * d^n * n^(2*n + 1/2), where d = A278300/exp(2) = 0.332303267076220516... and c = 8.89134588451...

STATUS

approved

editing

#33 by OEIS Server at Sat Dec 22 11:17:36 EST 2018

LINKS

Vaclav Kotesovec, <a href="/A204249/b204249_2.txt">Table of n, a(n) for n = 0..36</a>

#32 by Vaclav Kotesovec at Sat Dec 22 11:17:36 EST 2018

STATUS

editing

approved

Discussion

Sat Dec 22

11:17

OEIS Server: Installed new b-file as b204249.txt.  Old b-file is now b204249_2.txt.

#31 by Vaclav Kotesovec at Sat Dec 22 11:17:00 EST 2018

LINKS

Vaclav Kotesovec, <a href="/A204249/b204249_2.txt">Table of n, a(n) for n = 0..3236</a>

#30 by Vaclav Kotesovec at Fri Dec 21 08:43:56 EST 2018

PROG

(PARI) {a(n) = matpermanent(matrix(n, n, i, j, i+j))}

for(n=0, 20, print1(a(n), ", ")) \\ Vaclav Kotesovec, Dec 21 2018

STATUS

approved

editing

#29 by Vaclav Kotesovec at Fri Dec 02 04:13:26 EST 2016

STATUS

editing

approved