A301440 Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 3, 4 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

16, 512, 12576, 327848, 8525992, 221935656, 5777358820, 150397035552, 3915165237488, 101920395598948, 2653213102871732, 69069000434325364, 1798018721029102548, 46806400872419214156, 1218474055427109638404

Offset

1,1

Comments

Column 5 of A301443.

Links

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

Formula

Empirical: a(n) = 32*a(n-1) -154*a(n-2) -80*a(n-3) +1165*a(n-4) +164*a(n-5) -4691*a(n-6) +1777*a(n-7) +4826*a(n-8) -29796*a(n-9) -19721*a(n-10) +165136*a(n-11) +256552*a(n-12) -305068*a(n-13) -863040*a(n-14) -437400*a(n-15) +1576148*a(n-16) +1925233*a(n-17) +280381*a(n-18) -2666734*a(n-19) -3004951*a(n-20) -1005615*a(n-21) +1948324*a(n-22) +2329915*a(n-23) +1211417*a(n-24) -533598*a(n-25) -579740*a(n-26) -470117*a(n-27) +110187*a(n-28) +102915*a(n-29) +7830*a(n-30) -1296*a(n-31)

Example

Some solutions for n=5
..0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0. .0..0..0..0..0
..0..0..1..1..1. .0..0..1..0..1. .0..0..1..1..1. .0..0..1..0..0
..1..0..1..1..1. .0..1..0..0..1. .1..1..0..1..0. .0..1..0..1..0
..1..1..0..0..0. .0..0..0..1..0. .0..1..1..0..1. .1..1..0..0..1
..1..0..0..1..0. .1..1..1..0..0. .0..1..1..0..1. .0..0..0..0..0

Crossrefs

Cf. A301443.

Sequence in context: A268147 A303453 A303459 * A302012 A302007 A301781

Adjacent sequences: A301437 A301438 A301439 * A301441 A301442 A301443

Keyword

nonn

Author

R. H. Hardin, Mar 21 2018

Status

approved