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A295117 Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 1 or 4 1s. 1
6, 41, 226, 1373, 8257, 49302, 295083, 1768323, 10586331, 63381624, 379549120, 2272625520, 13607838241, 81481468232, 487893203155, 2921396482557, 17492709806652, 104742608145023, 627176268025963, 3755397674479571 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 5 of A295120.

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..210

FORMULA

Empirical: a(n) = 2*a(n-1) +11*a(n-2) +54*a(n-3) +109*a(n-4) +176*a(n-5) +169*a(n-6) -624*a(n-7) -2316*a(n-8) -805*a(n-9) +4070*a(n-10) +1147*a(n-11) -6289*a(n-12) -3027*a(n-13) +7703*a(n-14) +11476*a(n-15) -3556*a(n-16) -7917*a(n-17) +4301*a(n-18) +5017*a(n-19) +5146*a(n-20) -7555*a(n-21) -4779*a(n-22) -3722*a(n-23) -748*a(n-24) +3499*a(n-25) -6052*a(n-26) +3673*a(n-27) -3014*a(n-28) +3241*a(n-29) -1105*a(n-30) +156*a(n-31) -410*a(n-32) +136*a(n-33) -199*a(n-34) +138*a(n-35) -15*a(n-36) +51*a(n-37) -2*a(n-38) +2*a(n-39) -a(n-40)

EXAMPLE

Some solutions for n=6

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

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

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

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

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

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

CROSSREFS

Cf. A295120.

Sequence in context: A217326 A196433 A197196 * A198795 A320090 A266425

Adjacent sequences:  A295114 A295115 A295116 * A295118 A295119 A295120

KEYWORD

nonn

AUTHOR

R. H. Hardin, Nov 15 2017

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)