A297435 Number of 5Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 neighboring 1s.

1, 6, 68, 183, 535, 2430, 12005, 45977, 182298, 793315, 3484949, 14803822, 63574491, 278058902, 1219845758, 5340002947, 23461452827, 103504152712, 457326306914, 2022170756866, 8953245703620, 39687982435839, 176052243048369

Offset

1,2

Comments

Row 5 of A297431.

Links

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

Formula

Empirical: a(n) = 6*a(n-1) -2*a(n-2) -21*a(n-3) +55*a(n-4) -312*a(n-5) -47*a(n-6) +1417*a(n-7) -1322*a(n-8) +1486*a(n-9) +5063*a(n-10) -11080*a(n-11) +5229*a(n-12) -1399*a(n-13) -24687*a(n-14) +35875*a(n-15) +3906*a(n-16) -14117*a(n-17) -22633*a(n-18) +43774*a(n-19) -41598*a(n-20) +41345*a(n-21) -37878*a(n-22) +32034*a(n-23) -16314*a(n-24) +6016*a(n-25) -2376*a(n-26) +968*a(n-27) -432*a(n-28) +64*a(n-29)

Example

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

Crossrefs

Cf. A297431.

Sequence in context: A177555 A054746 A116005 * A281058 A152390 A200059

Adjacent sequences: A297432 A297433 A297434 * A297436 A297437 A297438

Keyword

nonn

Author

R. H. Hardin, Dec 30 2017

Status

approved