A302632 Number of nX5 0..1 arrays with every element equal to 0, 1, 3 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.

8, 25, 25, 65, 257, 719, 2303, 7695, 24205, 77827, 251835, 806047, 2591353, 8340665, 26787773, 86104127, 276842555, 889744085, 2859889913, 9193087135, 29549125343, 94980382961, 305300890107, 981337384507, 3154346109841, 10139134067253

Offset

1,1

Comments

Column 5 of A302635.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +24*a(n-3) +2*a(n-4) +6*a(n-5) -175*a(n-6) -67*a(n-7) -79*a(n-8) +599*a(n-9) +219*a(n-10) +190*a(n-11) -1186*a(n-12) -174*a(n-13) -148*a(n-14) +1508*a(n-15) -244*a(n-16) +36*a(n-17) -1276*a(n-18) +616*a(n-19) +744*a(n-21) -640*a(n-22) +32*a(n-23) -272*a(n-24) +384*a(n-25) -64*a(n-26) +32*a(n-27) -128*a(n-28) +64*a(n-29) for n>32

Example

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

Crossrefs

Cf. A302635.

Sequence in context: A122984 A254341 A188477 * A045860 A081504 A030796

Adjacent sequences: A302629 A302630 A302631 * A302633 A302634 A302635

Keyword

nonn

Author

R. H. Hardin, Apr 10 2018

Status

approved