A252841 Number of (n+2) X (1+2) 0..3 arrays with every consecutive three elements in every row and diagonal having one or two distinct values, and in every column and antidiagonal having two or three distinct values, and new values 0 upwards introduced in row major order.

1305, 24951, 488880, 9644050, 190273279, 3754660940, 74090662687, 1462043624070, 28850751949532, 569316875475916, 11234428121727874, 221690909964158016, 4374665008199979702, 86326020023629120158

Offset

1,1

Comments

Column 1 of A252844.

Links

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

Formula

Empirical: a(n) = 18*a(n-1) +86*a(n-2) -994*a(n-3) -1470*a(n-4) +18891*a(n-5) -10972*a(n-6) -137155*a(n-7) +458386*a(n-8) +344754*a(n-9) -5676836*a(n-10) -290377*a(n-11) +43535198*a(n-12) +4287236*a(n-13) -159925545*a(n-14) -268779654*a(n-15) +804335141*a(n-16) +970973386*a(n-17) -2078336878*a(n-18) -3319639002*a(n-19) +754228523*a(n-20) +13419206103*a(n-21) +72399252*a(n-22) -38090979845*a(n-23) +43488031150*a(n-24) +72529489617*a(n-25) -163864590116*a(n-26) -128284546312*a(n-27) +234353759810*a(n-28) +322369699828*a(n-29) -261073472809*a(n-30) -560583960661*a(n-31) +480777800264*a(n-32) +331536383724*a(n-33) -540088407387*a(n-34) +148832751298*a(n-35) +153685452410*a(n-36) -161131796324*a(n-37) +104433106016*a(n-38) -40744783252*a(n-39) -55519917168*a(n-40) +63985060128*a(n-41) -6939859596*a(n-42) -14022945384*a(n-43) +5677863960*a(n-44) -1166047488*a(n-45) +18214560*a(n-46) +517274496*a(n-47) -238736160*a(n-48) -10642752*a(n-49) +22851072*a(n-50) -2846016*a(n-51) -139968*a(n-52) for n > 53.

Example

Some solutions for n=2
..0..0..1....0..1..1....0..0..1....0..1..0....0..0..1....0..1..1....0..1..1
..1..0..1....0..2..2....1..0..0....1..0..0....1..2..1....1..0..1....1..2..2
..1..1..2....1..1..2....1..2..2....2..3..3....1..1..2....0..1..0....3..3..0
..2..1..1....2..1..1....2..3..2....3..2..3....0..0..2....2..2..3....1..3..1

Crossrefs

Cf. A252844.

Sequence in context: A277772 A252844 A252845 * A255025 A126841 A106815

Adjacent sequences: A252838 A252839 A252840 * A252842 A252843 A252844

Keyword

nonn

Author

R. H. Hardin, Dec 22 2014

Status

approved