A232319 Number of (3+1)X(n+1) 0..1 arrays with every element equal to some horizontal or antidiagonal neighbor, with top left element zero

13, 115, 1202, 14042, 164014, 1905436, 22161823, 257723189, 2997153100, 34854893113, 405339144562, 4713824245681, 54818634195843, 637504183234586, 7413748797343868, 86216957745461401, 1002645760786026294

Offset

1,1

Comments

Row 3 of A232316

Links

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

Formula

Empirical: a(n) = 10*a(n-1) +31*a(n-2) -109*a(n-3) -423*a(n-4) +475*a(n-5) +2814*a(n-6) -563*a(n-7) -11261*a(n-8) -3072*a(n-9) +29843*a(n-10) +16787*a(n-11) -54209*a(n-12) -43221*a(n-13) +65550*a(n-14) +74635*a(n-15) -48250*a(n-16) -90588*a(n-17) +14301*a(n-18) +74590*a(n-19) +8049*a(n-20) -40363*a(n-21) -5412*a(n-22) +7933*a(n-23) +1763*a(n-24) +602*a(n-25) +322*a(n-26) -29*a(n-27) -378*a(n-28) -22*a(n-29) +42*a(n-30) +12*a(n-31) -4*a(n-32) for n>34

Example

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

Crossrefs

Sequence in context: A362514 A115188 A155621 * A296332 A021034 A296632

Adjacent sequences: A232316 A232317 A232318 * A232320 A232321 A232322

Keyword

nonn

Author

R. H. Hardin, Nov 22 2013

Status

approved