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A303250 Number of nX4 0..1 arrays with every element equal to 1, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. 1
2, 45, 203, 1401, 8664, 55624, 349273, 2229806, 14141138, 89782352, 570414504, 3623364042, 23013173083, 146192778743, 928659809148, 5899066377892, 37473134952091, 238043423305307, 1512137758273339, 9605680030690948 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A303254.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +7*a(n-2) -27*a(n-3) -321*a(n-4) -213*a(n-5) +2807*a(n-6) +3899*a(n-7) -8015*a(n-8) -27255*a(n-9) +12353*a(n-10) +71558*a(n-11) +3162*a(n-12) -120371*a(n-13) +8354*a(n-14) +167215*a(n-15) -138930*a(n-16) -372344*a(n-17) +512518*a(n-18) +604644*a(n-19) -441639*a(n-20) -211921*a(n-21) -765287*a(n-22) +90464*a(n-23) +299277*a(n-24) +209820*a(n-25) +1367674*a(n-26) -1121671*a(n-27) -267827*a(n-28) -130972*a(n-29) -223517*a(n-30) +827606*a(n-31) -782370*a(n-32) -82371*a(n-33) +124045*a(n-34) +68912*a(n-35) +98182*a(n-36) -75028*a(n-37) +2868*a(n-38) +4232*a(n-39) +5296*a(n-40) -864*a(n-41) -1488*a(n-42) +576*a(n-43) for n>44

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A303254.

Sequence in context: A316126 A317432 A302468 * A151583 A325935 A222997

Adjacent sequences:  A303247 A303248 A303249 * A303251 A303252 A303253

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 20 2018

STATUS

approved

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Last modified September 26 02:27 EDT 2021. Contains 347664 sequences. (Running on oeis4.)