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A299183 Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. 2
8, 29, 27, 75, 191, 401, 952, 2258, 5275, 13250, 32268, 77769, 191931, 469537, 1146722, 2829540, 6941097, 16987427, 41832684, 102763482, 252007870, 619897823, 1523184474, 3738568449, 9191254923, 22587057264, 55465702765, 136320314139 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A299187.

LINKS

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

FORMULA

Empirical: a(n) = 3*a(n-1) +a(n-2) +11*a(n-3) -49*a(n-4) -18*a(n-5) +11*a(n-6) +218*a(n-7) +80*a(n-8) -244*a(n-9) +84*a(n-10) -286*a(n-11) -825*a(n-12) -1687*a(n-13) +2587*a(n-14) +4682*a(n-15) -576*a(n-16) -6980*a(n-17) +1611*a(n-18) +10469*a(n-19) -3111*a(n-20) -19296*a(n-21) -3761*a(n-22) +16046*a(n-23) +2091*a(n-24) -2785*a(n-25) +718*a(n-26) +21722*a(n-27) -16663*a(n-28) +13289*a(n-29) -14849*a(n-30) -23694*a(n-31) -14617*a(n-32) +65721*a(n-33) -25438*a(n-34) -46244*a(n-35) +41970*a(n-36) +102361*a(n-37) -104134*a(n-38) -38629*a(n-39) +29336*a(n-40) +56521*a(n-41) -83376*a(n-42) -20392*a(n-43) +63523*a(n-44) -2523*a(n-45) +4025*a(n-46) -9755*a(n-47) +11795*a(n-48) -3658*a(n-49) -4777*a(n-50) +5165*a(n-51) -9718*a(n-52) +4047*a(n-53) +2228*a(n-54) -1986*a(n-55) +2919*a(n-56) -1872*a(n-57) -1708*a(n-58) +367*a(n-59) -180*a(n-60) +69*a(n-61) +272*a(n-62) +76*a(n-63) +32*a(n-64) +14*a(n-65) -24*a(n-66) -8*a(n-67) for n>70

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A299187.

Sequence in context: A297885 A298290 A298490 * A155578 A115107 A298217

Adjacent sequences:  A299180 A299181 A299182 * A299184 A299185 A299186

KEYWORD

nonn

AUTHOR

R. H. Hardin, Feb 04 2018

STATUS

approved

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Last modified September 18 19:30 EDT 2021. Contains 347534 sequences. (Running on oeis4.)