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A301527 Number of nX4 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. 1
1, 16, 92, 742, 5472, 43211, 339956, 2691202, 21316797, 169011518, 1340378030, 10631856635, 84337029071, 669022950500, 5307252023905, 42101846876713, 333990284907385, 2649519288740820, 21018445659880026, 166737860277894562 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Column 4 of A301531.

LINKS

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

FORMULA

Empirical: a(n) = 7*a(n-1) +23*a(n-2) -99*a(n-3) -225*a(n-4) +151*a(n-5) +362*a(n-6) +1456*a(n-7) +3621*a(n-8) +2422*a(n-9) -10*a(n-10) -14665*a(n-11) -20439*a(n-12) +4359*a(n-13) -29781*a(n-14) -80899*a(n-15) -121000*a(n-16) -144634*a(n-17) +38378*a(n-18) +203302*a(n-19) +219725*a(n-20) +424985*a(n-21) +348008*a(n-22) +35753*a(n-23) +336863*a(n-24) +816903*a(n-25) +1174827*a(n-26) +1074594*a(n-27) -398928*a(n-28) -2156968*a(n-29) -3717082*a(n-30) -4162840*a(n-31) -2546101*a(n-32) +34124*a(n-33) +2475480*a(n-34) +3451617*a(n-35) +2771935*a(n-36) +1382868*a(n-37) -39455*a(n-38) -1006185*a(n-39) -1122912*a(n-40) -745226*a(n-41) -284326*a(n-42) +21490*a(n-43) +102551*a(n-44) +130999*a(n-45) +99371*a(n-46) +46254*a(n-47) +9756*a(n-48) -5180*a(n-49) -6162*a(n-50) -4655*a(n-51) -3717*a(n-52) -1278*a(n-53) -69*a(n-54) +53*a(n-55) +63*a(n-56) +49*a(n-57) +24*a(n-58) +5*a(n-59) -a(n-60) for n>62

EXAMPLE

Some solutions for n=5

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

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

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

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

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

CROSSREFS

Cf. A301531.

Sequence in context: A153029 A170920 A027938 * A185458 A108676 A304344

Adjacent sequences:  A301524 A301525 A301526 * A301528 A301529 A301530

KEYWORD

nonn

AUTHOR

R. H. Hardin, Mar 23 2018

STATUS

approved

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Last modified January 16 09:13 EST 2021. Contains 340204 sequences. (Running on oeis4.)