A297679 Number of nX5 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 1 or 4 neighboring 1s.

24, 219, 2790, 32911, 401678, 4870764, 59210634, 719647644, 8748946600, 106360216813, 1293051641215, 15720067945295, 191114672847915, 2323452694839402, 28247100678589725, 343410814460992551

Offset

1,1

Comments

Column 5 of A297682.

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -13*a(n-2) +103*a(n-3) -631*a(n-4) -2904*a(n-5) +4228*a(n-6) -9174*a(n-7) +33373*a(n-8) -11504*a(n-9) +48969*a(n-10) -94831*a(n-11) +2069*a(n-12) -31085*a(n-13) -9102*a(n-14) +78809*a(n-15) -13808*a(n-16) +49758*a(n-17) -54323*a(n-18) +6349*a(n-19) +12263*a(n-20) -9120*a(n-21) +1613*a(n-22) -13130*a(n-23) +13637*a(n-24) -72*a(n-25) -8310*a(n-26) +1120*a(n-27) +2320*a(n-28) +128*a(n-29) -192*a(n-30)

Example

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

Crossrefs

Cf. A297682.

Sequence in context: A205816 A138406 A042112 * A202073 A107968 A269777

Adjacent sequences: A297676 A297677 A297678 * A297680 A297681 A297682

Keyword

nonn

Author

R. H. Hardin, Jan 03 2018

Status

approved