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A305589 Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 5 or 6 king-move adjacent elements, with upper left element zero. 1
8, 65, 390, 2451, 14746, 89466, 544280, 3314595, 20186517, 122959746, 749058546, 4563548026, 27804168598, 169406254298, 1032182730787, 6289099847626, 38319805312809, 233485489859306, 1422648513402804, 8668341664825535 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A305593.

LINKS

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

FORMULA

Empirical: a(n) = 9*a(n-1) -18*a(n-2) +28*a(n-3) -162*a(n-4) -93*a(n-5) +407*a(n-6) +1195*a(n-7) +1669*a(n-8) -392*a(n-9) -108*a(n-10) -18223*a(n-11) +5342*a(n-12) -22547*a(n-13) -68718*a(n-14) +80676*a(n-15) -115465*a(n-16) +376935*a(n-17) +174298*a(n-18) +382141*a(n-19) -391935*a(n-20) +1058452*a(n-21) -2123771*a(n-22) +2758773*a(n-23) -3785453*a(n-24) -5505707*a(n-25) +8387586*a(n-26) -19508374*a(n-27) +19452792*a(n-28) +3273614*a(n-29) -9839642*a(n-30) -1150520*a(n-31) +15388381*a(n-32) +26576015*a(n-33) -34317006*a(n-34) -15424431*a(n-35) +2695852*a(n-36) -29399288*a(n-37) +11152019*a(n-38) +20424410*a(n-39) -39694874*a(n-40) +78186467*a(n-41) +42408467*a(n-42) -14206230*a(n-43) +814405*a(n-44) +18464832*a(n-45) -21668937*a(n-46) -22553264*a(n-47) +16081493*a(n-48) -26163409*a(n-49) -9663135*a(n-50) +3843853*a(n-51) -87906*a(n-52) +1993634*a(n-53) +345648*a(n-54) -867616*a(n-55) +96128*a(n-56) +200320*a(n-57) for n>59

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A305593.

Sequence in context: A305772 A317121 A009373 * A317007 A293802 A316872

Adjacent sequences:  A305586 A305587 A305588 * A305590 A305591 A305592

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jun 05 2018

STATUS

approved

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Last modified May 25 06:43 EDT 2022. Contains 354049 sequences. (Running on oeis4.)