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A298837 Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1
0, 6, 21, 110, 1045, 7322, 60497, 482261, 3886764, 31419679, 253669718, 2050750767, 16574522884, 133980763315, 1083047418757, 8754987461582, 70773060189635, 572110944739376, 4624804772439213, 37385796035240692, 302217747405919419 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298841.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) +17*a(n-2) -195*a(n-3) -301*a(n-4) +2160*a(n-5) +2724*a(n-6) -12908*a(n-7) -15160*a(n-8) +47906*a(n-9) +54649*a(n-10) -121788*a(n-11) -119168*a(n-12) +219680*a(n-13) +109795*a(n-14) -358602*a(n-15) +332162*a(n-16) +436116*a(n-17) -1047261*a(n-18) -907623*a(n-19) +1904805*a(n-20) +943907*a(n-21) -401499*a(n-22) -3080376*a(n-23) +756838*a(n-24) +2344863*a(n-25) -422428*a(n-26) -154363*a(n-27) -1739231*a(n-28) +1061307*a(n-29) +880883*a(n-30) -496873*a(n-31) -39576*a(n-32) -190649*a(n-33) +102350*a(n-34) -69812*a(n-35) -105271*a(n-36) +28788*a(n-37) +64379*a(n-38) +25435*a(n-39) -45832*a(n-40) -6076*a(n-41) +16110*a(n-42) +1038*a(n-43) -3416*a(n-44) +408*a(n-45) for n>48

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298841.

Sequence in context: A083558 A060843 A026650 * A009253 A251593 A012840

Adjacent sequences:  A298834 A298835 A298836 * A298838 A298839 A298840

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 27 2018

STATUS

approved

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Last modified February 24 06:13 EST 2018. Contains 299597 sequences. (Running on oeis4.)