The On-Line Encyclopedia of Integer Sequences (OEIS)

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A268778

Number of nX5 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.
(history; published version)

#4 by R. H. Hardin at Sat Feb 13 09:46:39 EST 2016

STATUS

editing

approved

#3 by R. H. Hardin at Sat Feb 13 09:46:36 EST 2016

LINKS

R. H. Hardin, <a href="/A268778/b268778.txt">Table of n, a(n) for n = 1..210</a>

#2 by R. H. Hardin at Sat Feb 13 09:46:19 EST 2016

NAME

allocated for R. H. Hardin

Number of nX5 binary arrays with some element plus some horizontally, vertically, diagonally or antidiagonally adjacent neighbor totalling two no more than once.

DATA

23, 148, 1031, 6383, 38483, 224960, 1288693, 7271509, 40511381, 223527424, 1223021243, 6646278717, 35903716877, 192977652868, 1032630435883, 5504232072227, 29238119105311, 154834459041646, 817685821067843

OFFSET

1,1

COMMENTS

Column 5 of A268781.

FORMULA

Empirical: a(n) = 4*a(n-1) +28*a(n-2) -62*a(n-3) -314*a(n-4) +78*a(n-5) +867*a(n-6) +6*a(n-7) -859*a(n-8) +46*a(n-9) +215*a(n-10) -8*a(n-11) -16*a(n-12)

EXAMPLE

Some solutions for n=4

..1..1..0..1..0. .1..1..0..0..0. .1..1..0..0..1. .0..1..0..0..0

..0..0..0..0..0. .0..0..0..0..1. .0..0..0..0..0. .0..0..0..1..1

..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0

..0..0..1..0..0. .1..0..1..0..0. .0..1..0..0..0. .0..0..0..0..1

CROSSREFS

Cf. A268781.

KEYWORD

allocated

nonn

AUTHOR

R. H. Hardin, Feb 13 2016

STATUS

approved

editing

#1 by R. H. Hardin at Sat Feb 13 09:36:47 EST 2016

NAME

allocated for R. H. Hardin

KEYWORD

allocated

STATUS

approved