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A299685 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero. 1
5, 16, 54, 648, 2850, 20882, 159324, 1041908, 7459468, 53904306, 375940431, 2678988639, 19089395160, 135035259385, 959911426013, 6820922367039, 48396544732963, 343770481230580, 2441462845433685, 17334264880163647 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A299689.

LINKS

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

FORMULA

Empirical: a(n) = 5*a(n-1) +20*a(n-2) +81*a(n-3) -653*a(n-4) -1905*a(n-5) +643*a(n-6) +23079*a(n-7) +48432*a(n-8) -58518*a(n-9) -346722*a(n-10) -472191*a(n-11) +736590*a(n-12) +2550808*a(n-13) +1321038*a(n-14) -4101790*a(n-15) -7503804*a(n-16) +3021497*a(n-17) +8448688*a(n-18) -3562570*a(n-19) -11841484*a(n-20) +15048149*a(n-21) +38007941*a(n-22) -4122652*a(n-23) -77892088*a(n-24) -44675826*a(n-25) +53117546*a(n-26) +92005643*a(n-27) +31709255*a(n-28) -62292123*a(n-29) -90295223*a(n-30) -9746620*a(n-31) +70199783*a(n-32) +51756737*a(n-33) -32982903*a(n-34) -38437964*a(n-35) +11773993*a(n-36) +13043088*a(n-37) -1802183*a(n-38) -2623888*a(n-39) -627392*a(n-40) +445160*a(n-41) +293800*a(n-42) -44672*a(n-43) -29568*a(n-44) for n>46

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299689.

Sequence in context: A041469 A089102 A098912 * A268225 A120343 A301280

Adjacent sequences:  A299682 A299683 A299684 * A299686 A299687 A299688

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 16 2018

STATUS

approved

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Last modified October 28 18:13 EDT 2020. Contains 338064 sequences. (Running on oeis4.)