A297516 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 or 3 neighboring 1s.

6, 65, 363, 2610, 19187, 134123, 956810, 6834267, 48617437, 346450092, 2468975717, 17589178379, 125325570606, 892966071949, 6362349116511, 45332105458684, 322993886339549, 2301344223018433, 16397188735256084, 116830761042732185

Offset

1,1

Comments

Column 5 of A297519.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +9*a(n-2) +97*a(n-3) -270*a(n-4) -535*a(n-5) -2672*a(n-6) +4670*a(n-7) +11620*a(n-8) +24263*a(n-9) -34073*a(n-10) -113740*a(n-11) -85985*a(n-12) +137293*a(n-13) +532298*a(n-14) +110765*a(n-15) -340164*a(n-16) -1294301*a(n-17) +208677*a(n-18) +252812*a(n-19) +1399428*a(n-20) -618875*a(n-21) -201935*a(n-22) +1798625*a(n-23) -1979190*a(n-24) +3689606*a(n-25) -7150815*a(n-26) +6062736*a(n-27) -7124436*a(n-28) +5942306*a(n-29) -3910967*a(n-30) +1242633*a(n-31) +2439103*a(n-32) -2150109*a(n-33) +5908137*a(n-34) -5890893*a(n-35) +2508549*a(n-36) -1370320*a(n-37) -635836*a(n-38) +860876*a(n-39) -1748956*a(n-40) +1912696*a(n-41) -217910*a(n-42) +67462*a(n-43) -171947*a(n-44) -176964*a(n-45) +153646*a(n-46) -36877*a(n-47) -236*a(n-48) +2602*a(n-49) +80*a(n-50) +324*a(n-51) +337*a(n-52) -68*a(n-53) -21*a(n-54)

Example

Some solutions for n=6
..0..0..0..0..0. .0..0..1..0..1. .0..0..1..1..1. .0..0..0..1..1
..1..1..0..0..1. .0..0..0..1..0. .0..0..1..0..0. .0..1..0..0..0
..0..0..0..1..0. .1..1..1..0..0. .0..1..0..1..0. .0..0..1..0..0
..1..0..0..0..0. .0..0..1..1..0. .0..1..0..0..0. .0..1..0..1..0
..0..1..0..1..0. .1..0..1..1..0. .1..1..0..0..1. .0..0..0..0..0
..1..0..1..1..0. .1..1..0..0..1. .0..1..0..1..0. .1..1..0..1..1

Crossrefs

Cf. A297519.

Sequence in context: A249828 A179879 A350946 * A099343 A189509 A360977

Adjacent sequences: A297513 A297514 A297515 * A297517 A297518 A297519

Keyword

nonn

Author

R. H. Hardin, Dec 31 2017

Status

approved