A234880 Number of (n+1) X (6+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 1, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).

1068, 2944, 5316, 22748, 44348, 261384, 518988, 3695496, 7370908, 57766200, 115385628, 946108608, 1890889692, 15833884200, 31653386076, 267691390256, 535199912860, 4547591259720, 9092552526460, 77436482160784, 154832004875388

Offset

1,1

Links

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

Formula

Empirical: a(n) = a(n-1) +64*a(n-2) -64*a(n-3) -1774*a(n-4) +1774*a(n-5) +28396*a(n-6) -28396*a(n-7) -294326*a(n-8) +294326*a(n-9) +2094938*a(n-10) -2094938*a(n-11) -10579203*a(n-12) +10579203*a(n-13) +38573258*a(n-14) -38573258*a(n-15) -102289192*a(n-16) +102289192*a(n-17) +197108892*a(n-18) -197108892*a(n-19) -273632948*a(n-20) +273632948*a(n-21) +268830864*a(n-22) -268830864*a(n-23) -181152608*a(n-24) +181152608*a(n-25) +79213344*a(n-26) -79213344*a(n-27) -20157312*a(n-28) +20157312*a(n-29) +2257920*a(n-30) -2257920*a(n-31).

Example

Some solutions for n=4:
  1 4 1 4 1 4 1        1 2 1 2 0 2 1        3 0 1 0 3 0 3
  0 2 0 2 0 2 0        2 4 2 4 3 4 2        4 2 4 2 4 2 4
  3 4 3 4 3 4 3        1 2 1 2 0 2 1        1 0 3 0 3 0 3
  1 3 1 3 1 3 1        2 4 2 4 3 4 2        4 2 4 2 4 2 4
  3 4 3 4 3 4 3        1 2 1 2 0 2 1        3 0 1 0 1 0 1

Crossrefs

Column 6 of A234882.

Sequence in context: A023078 A056102 A218564 * A218565 A145298 A145299

Adjacent sequences: A234877 A234878 A234879 * A234881 A234882 A234883

Keyword

nonn

Author

R. H. Hardin, Jan 01 2014

Status

approved