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A298497 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
5, 13, 4, 38, 54, 97, 467, 1105, 3354, 12283, 37107, 122676, 416829, 1349661, 4501298, 15041030, 49602808, 165300728, 550279765, 1824434359, 6073061606, 20198360859, 67084559733, 223165737677, 742040901129, 2466100981652, 8201311431601 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Column 4 of A298501.

LINKS

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

FORMULA

Empirical: a(n) = 2*a(n-1) +3*a(n-2) +38*a(n-3) -74*a(n-4) -94*a(n-5) -548*a(n-6) +1068*a(n-7) +1218*a(n-8) +4225*a(n-9) -8296*a(n-10) -8891*a(n-11) -20219*a(n-12) +40048*a(n-13) +41055*a(n-14) +65345*a(n-15) -129516*a(n-16) -127567*a(n-17) -150411*a(n-18) +291882*a(n-19) +277454*a(n-20) +255085*a(n-21) -466458*a(n-22) -433314*a(n-23) -325005*a(n-24) +528945*a(n-25) +492165*a(n-26) +313348*a(n-27) -417649*a(n-28) -405446*a(n-29) -226960*a(n-30) +216825*a(n-31) +235781*a(n-32) +118928*a(n-33) -61334*a(n-34) -89164*a(n-35) -39557*a(n-36) +263*a(n-37) +16190*a(n-38) +3967*a(n-39) +5305*a(n-40) +1954*a(n-41) +2833*a(n-42) -770*a(n-43) -1558*a(n-44) -1215*a(n-45) -319*a(n-46) +210*a(n-47) +145*a(n-48) +78*a(n-49) +4*a(n-50) +2*a(n-51) for n>54

EXAMPLE

Some solutions for n=6

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

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

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

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

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

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

CROSSREFS

Cf. A298501.

Sequence in context: A121645 A057691 A297903 * A246922 A246921 A170864

Adjacent sequences:  A298494 A298495 A298496 * A298498 A298499 A298500

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 20 2018

STATUS

approved

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Last modified January 26 16:09 EST 2021. Contains 340442 sequences. (Running on oeis4.)