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A298504 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4 or 7 king-move adjacent elements, with upper left element zero. 1
1, 37, 50, 269, 1297, 6063, 35908, 203345, 1189795, 7055624, 41835434, 249147878, 1485044635, 8856174210, 52837998146, 315280148740, 1881427765566, 11227912700923, 67006814037012, 399893612351038, 2386560771055623 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A298508.

LINKS

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

FORMULA

Empirical: a(n) = 4*a(n-1) +17*a(n-2) +13*a(n-3) -193*a(n-4) -530*a(n-5) -97*a(n-6) +3154*a(n-7) +7208*a(n-8) -130*a(n-9) -26435*a(n-10) -41448*a(n-11) +13851*a(n-12) +111015*a(n-13) +82276*a(n-14) -111684*a(n-15) -190827*a(n-16) +79153*a(n-17) +313873*a(n-18) -31710*a(n-19) -459800*a(n-20) -307252*a(n-21) +482934*a(n-22) +791234*a(n-23) -6361*a(n-24) -567235*a(n-25) -901162*a(n-26) -315490*a(n-27) +159776*a(n-28) +935898*a(n-29) +1293810*a(n-30) -906330*a(n-31) -2626394*a(n-32) -2785509*a(n-33) +1744251*a(n-34) +4843554*a(n-35) +4452221*a(n-36) -380121*a(n-37) -3070783*a(n-38) -2643211*a(n-39) -164399*a(n-40) +1257451*a(n-41) +527157*a(n-42) +62435*a(n-43) -639878*a(n-44) -315429*a(n-45) -329335*a(n-46) -169829*a(n-47) -89228*a(n-48) -7003*a(n-49) +43945*a(n-50) +45334*a(n-51) +15458*a(n-52) -2070*a(n-53) -3816*a(n-54) -2168*a(n-55) +664*a(n-56) +272*a(n-57) -64*a(n-58) for n>61

EXAMPLE

Some solutions for n=7

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

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

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

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

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

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

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

CROSSREFS

Cf. A298508.

Sequence in context: A129072 A297911 A253019 * A074401 A323476 A084548

Adjacent sequences:  A298501 A298502 A298503 * A298505 A298506 A298507

KEYWORD

nonn

AUTHOR

R. H. Hardin, Jan 20 2018

STATUS

approved

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Last modified April 18 14:03 EDT 2021. Contains 343088 sequences. (Running on oeis4.)