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A297593 Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 5 neighboring 1s. 1
9, 69, 443, 3145, 23066, 163704, 1172288, 8419996, 60354437, 432486880, 3101191209, 22233839619, 159387906784, 1142689244796, 8192204302737, 58730805975407, 421050083127329, 3018577722454520, 21640640428753082 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 6 of A297595.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +16*a(n-2) +129*a(n-3) +227*a(n-4) -105*a(n-5) -2226*a(n-6) -4884*a(n-7) +604*a(n-8) +23119*a(n-9) +49143*a(n-10) -53762*a(n-11) -181270*a(n-12) -193040*a(n-13) +219246*a(n-14) +1003859*a(n-15) +263263*a(n-16) -1820114*a(n-17) +2250789*a(n-18) -5172086*a(n-19) +6760023*a(n-20) -7333665*a(n-21) +5453092*a(n-22) -7795474*a(n-23) +8828869*a(n-24) -3949092*a(n-25) +5296459*a(n-26) -3251790*a(n-27) -454888*a(n-28) +122955*a(n-29) +274302*a(n-30) +88776*a(n-31) -155166*a(n-32) -139911*a(n-33) -80887*a(n-34) +76672*a(n-35) -9221*a(n-36) +8982*a(n-37) -4846*a(n-38) -987*a(n-39) +396*a(n-40)

EXAMPLE

Some solutions for n=6

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

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

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

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

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

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

CROSSREFS

Cf. A297595.

Sequence in context: A297393 A072258 A196490 * A198691 A125372 A165147

Adjacent sequences:  A297590 A297591 A297592 * A297594 A297595 A297596

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 01 2018

STATUS

approved

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Last modified September 25 10:27 EDT 2020. Contains 337337 sequences. (Running on oeis4.)