A296310 Number of nX5 0..1 arrays with each 1 adjacent to 3 or 6 king-move neighboring 1s.

1, 6, 13, 23, 68, 162, 343, 864, 2075, 4715, 11332, 27032, 63289, 150185, 356088, 845066, 2001445, 4729763, 11313308, 26839052, 63348543, 152575504, 363231490, 857562898, 2082301478, 4983700747, 11785221680, 28919297267, 69747046028

Offset

1,2

Comments

Column 5 of A296313.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +67*a(n-3) -59*a(n-4) -62*a(n-5) -1809*a(n-6) +1341*a(n-7) +1511*a(n-8) +25586*a(n-9) -14845*a(n-10) -18705*a(n-11) -209575*a(n-12) +85588*a(n-13) +130544*a(n-14) +1061484*a(n-15) -269421*a(n-16) -562999*a(n-17) -3499136*a(n-18) +417881*a(n-19) +1591445*a(n-20) +7763653*a(n-21) -11662*a(n-22) -3001912*a(n-23) -11769729*a(n-24) -1191122*a(n-25) +3833180*a(n-26) +12194217*a(n-27) +2198725*a(n-28) -3499229*a(n-29) -8621478*a(n-30) -1899439*a(n-31) +2529304*a(n-32) +4247435*a(n-33) +883792*a(n-34) -1505136*a(n-35) -1540053*a(n-36) -247920*a(n-37) +665714*a(n-38) +420856*a(n-39) +55872*a(n-40) -202184*a(n-41) -80280*a(n-42) -10232*a(n-43) +41448*a(n-44) +9568*a(n-45) +1056*a(n-46) -5344*a(n-47) -640*a(n-48) -128*a(n-49) +384*a(n-50)

Example

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

Crossrefs

Cf. A296313.

Sequence in context: A359351 A293504 A194126 * A235450 A032528 A058535

Adjacent sequences: A296307 A296308 A296309 * A296311 A296312 A296313

Keyword

nonn

Author

R. H. Hardin, Dec 10 2017

Status

approved