A266011 Number of nX7 integer arrays with each element equal to the number of horizontal and antidiagonal neighbors equal to itself.

1, 4, 27, 75, 486, 2208, 10708, 53384, 255936, 1264666, 6155158, 30091959, 147181798, 718659407, 3513986897, 17168832194, 83908881411, 410071803548, 2003955083279, 9793599928641, 47860794887575, 233897163096237

Offset

1,2

Comments

Column 7 of A266012.

Links

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

Formula

Empirical: a(n) = a(n-1) +12*a(n-2) +35*a(n-3) +11*a(n-4) -18*a(n-5) -253*a(n-6) -68*a(n-7) -142*a(n-8) +353*a(n-9) +167*a(n-10) +285*a(n-11) +263*a(n-12) -218*a(n-13) +383*a(n-14) -581*a(n-15) +430*a(n-16) -544*a(n-17) -75*a(n-18) -27*a(n-19) -240*a(n-20) +501*a(n-21) -210*a(n-22) +252*a(n-23) -144*a(n-24) for n>28

Example

Some solutions for n=4
..0..2..2..0..2..2..2....0..2..2..0..1..1..0....0..1..2..2..2..2..0
..2..2..1..2..1..2..2....2..2..1..2..2..2..2....1..2..1..1..2..2..2
..0..1..2..1..0..2..1....0..1..2..1..1..2..1....2..2..2..1..1..2..1
..0..2..2..2..2..1..0....0..2..2..2..2..1..0....0..2..2..2..2..1..0

Crossrefs

Cf. A266012.

Sequence in context: A276372 A071837 A334633 * A015238 A298987 A070600

Adjacent sequences: A266008 A266009 A266010 * A266012 A266013 A266014

Keyword

nonn

Author

R. H. Hardin, Dec 20 2015

Status

approved