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Revision History for A001835 (Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = 4*a(n-1) - a(n-2), with a(0) = 1, a(1) = 1.
(history; published version)
#308 by Russ Cox at Sun Jan 05 19:51:32 EST 2025
LINKS

Steve Butler, Paul Horn, and Eric Tressler, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/48-2/Butler_Horn_Tressler.pdf">Intersecting Domino Tilings</a>, Fibonacci Quart. 48 (2010), no. 2, 114-120.

Anitha Srinivasan, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/58-5/srinivasan.pdf">The Markoff-Fibonacci Numbers</a>, Fibonacci Quart. 58 (2020), no. 5, 222-228.

Thotsaporn "Aek" Thanatipanonda, <a href="https://web.archive.org/web/2024*/https://www.fq.math.ca/Papers1/57-5/thanatipanonda.pdf">Statistics of Domino Tilings on a Rectangular Board</a>, Fibonacci Quart. 57 (2019), no. 5, 145-153. See p. 151.

Discussion
Sun Jan 05
19:51
OEIS Server: https://oeis.org/edit/global/3012
#307 by Russ Cox at Sun Jan 05 19:24:37 EST 2025
LINKS

Steve Butler, Paul Horn, and Eric Tressler, <a href="httphttps://www.fq.math.ca/Papers1/48-2/Butler_Horn_Tressler.pdf">Intersecting Domino Tilings</a>, Fibonacci Quart. 48 (2010), no. 2, 114-120.

Discussion
Sun Jan 05
19:24
OEIS Server: https://oeis.org/edit/global/3011
#306 by N. J. A. Sloane at Wed Sep 11 00:53:42 EDT 2024
STATUS

proposed

approved

#305 by Klaus Purath at Mon Sep 09 17:21:21 EDT 2024
STATUS

editing

proposed

#304 by Klaus Purath at Mon Sep 09 17:19:26 EDT 2024
COMMENTS

Binomial transform of 1, 0, 2, 4, 12, … (A028860 without the initial -1) and reverse binomial transform of 1, 2, 6, 24, 108, … (A094433 without the initial 1). - Klaus Purath, Sep 09 2024

STATUS

approved

editing

#303 by R. J. Mathar at Mon Aug 05 13:54:06 EDT 2024
STATUS

editing

approved

#302 by R. J. Mathar at Mon Aug 05 13:54:02 EDT 2024
LINKS

F. Faase, <a href="http://citeseerx.ist.psu.edu/viewdocpdf/summary?doi=10.1.1.37.279008bf93885ff60b6ec20b567c70eb1ff6dbf05bc2">On the number of specific spanning subgraphs of the graphs G X P_n</a>, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154.

STATUS

approved

editing

#301 by N. J. A. Sloane at Fri Jun 21 15:24:47 EDT 2024
STATUS

proposed

approved

#300 by Klaus Purath at Thu May 30 13:39:42 EDT 2024
STATUS

editing

proposed

#299 by Klaus Purath at Thu May 30 13:38:05 EDT 2024
COMMENTS

If (t) is a sequence satisfying t(k) = 3t(k-1) + 3t(k-2) - t(k-3) or t(k) = 4t(k-1) - t(k-2) without regard to initial values and including this sequence itself, then a(n) = (t(k+2n+1) + t(k))/(t(k+n+1) + t(k+n)) always applies , as long as t(k+n+1) + t(k+n) != 0 for nonnegative integer k, and n >= 1. (End)

STATUS

proposed

editing