A295272 Number of nX5 0..1 arrays with each 1 horizontally or vertically adjacent to 0, 1 or 4 1s.

24, 291, 4035, 54773, 748740, 10203847, 139221499, 1898916677, 25902054180, 353312300646, 4819296560043, 65736776328102, 896671271822835, 12230890096966674, 166833355609514988, 2275661718111926504

Offset

1,1

Comments

Column 5 of A295275.

Links

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

Formula

Empirical: a(n) = 5*a(n-1) +84*a(n-2) +421*a(n-3) +716*a(n-4) -1544*a(n-5) -7895*a(n-6) -11069*a(n-7) +23659*a(n-8) +46894*a(n-9) -28597*a(n-10) -25649*a(n-11) -112201*a(n-12) +282924*a(n-13) -604659*a(n-14) +1353567*a(n-15) -2132282*a(n-16) +2688487*a(n-17) -2990791*a(n-18) +2796525*a(n-19) -2113112*a(n-20) +1443409*a(n-21) -944144*a(n-22) +464982*a(n-23) -217099*a(n-24) +125161*a(n-25) -1805*a(n-26) -32202*a(n-27) +26125*a(n-28) -18772*a(n-29) -1914*a(n-30) -838*a(n-31) +1685*a(n-32) +2105*a(n-33) -329*a(n-34) -147*a(n-35) -176*a(n-36) +64*a(n-37) +7*a(n-38) +a(n-39) -a(n-40)

Example

Some solutions for n=4
..1..0..1..0..1....1..0..1..0..0....0..1..0..0..0....1..0..1..0..1
..0..0..0..1..0....0..0..0..0..0....1..0..1..0..1....1..0..0..1..0
..0..0..1..1..1....1..0..0..0..0....1..0..1..0..1....0..1..0..0..1
..1..0..0..1..0....0..0..0..1..1....0..1..0..1..0....1..0..1..0..0

Crossrefs

Cf. A295275.

Sequence in context: A288458 A042110 A282993 * A369469 A086941 A187028

Adjacent sequences: A295269 A295270 A295271 * A295273 A295274 A295275

Keyword

nonn

Author

R. H. Hardin, Nov 19 2017

Status

approved