A204051 Number of (n+2)X5 0..3 arrays with every 3X3 subblock having equal diagonal elements or equal antidiagonal elements, and new values 0..3 introduced in row major order

80391, 756338, 5257444, 39646479, 315429190, 2404876738, 18455232523, 141708188218, 1080947863092, 8278402917075, 63528617890314, 486692871562162, 3729534140036939, 28580128199326250, 218948932569435888

Offset

1,1

Comments

Column 3 of A204056

Links

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

Formula

Empirical: a(n) = 11*a(n-1) -31*a(n-2) +79*a(n-3) -472*a(n-4) +1932*a(n-5) +2343*a(n-6) -67575*a(n-7) +146489*a(n-8) -117175*a(n-9) +1530642*a(n-10) -3606682*a(n-11) -273862*a(n-12) +16772230*a(n-13) -36299284*a(n-14) +57214908*a(n-15) -450679676*a(n-16) +1029465388*a(n-17) -1009716328*a(n-18) +1262395368*a(n-19) -3104036256*a(n-20) +5553659568*a(n-21) +6848087424*a(n-22) -17980020864*a(n-23) -350054784*a(n-24) -7325373888*a(n-25) +24129328896*a(n-26) +5625189504*a(n-27) -22114632960*a(n-28) +13450924800*a(n-29) -6809163264*a(n-30) +6167549952*a(n-31) -7135008768*a(n-32) +2176782336*a(n-33) for n>34

Example

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

Crossrefs

Sequence in context: A250335 A250080 A251377 * A218248 A102457 A102459

Adjacent sequences: A204048 A204049 A204050 * A204052 A204053 A204054

Keyword

nonn

Author

R. H. Hardin Jan 09 2012

Status

approved