A234677 Number of (n+1) X (4+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

4568, 9108, 17312, 41832, 93680, 254784, 639440, 1878960, 5098448, 15829008, 45291152, 146459472, 434549840, 1448936784, 4409332880, 15047298000, 46627861328, 161947291728, 508508258192, 1789849512912, 5675323653200

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-1) +47*a(n-2) -200*a(n-3) -901*a(n-4) +4204*a(n-5) +8957*a(n-6) -48440*a(n-7) -47194*a(n-8) +334096*a(n-9) +101948*a(n-10) -1410080*a(n-11) +170136*a(n-12) +3549696*a(n-13) -1446912*a(n-14) -4861440*a(n-15) +2954880*a(n-16) +2764800*a(n-17) -2073600*a(n-18).

Example

Some solutions for n=5
  3 4 4 4 2      1 0 1 0 1      0 4 0 3 1      0 3 2 5 0
  4 0 5 0 3      1 5 1 5 1      2 1 2 0 3      2 0 4 2 2
  4 5 5 5 3      3 2 3 2 3      0 4 0 3 1      0 3 2 5 0
  4 0 5 0 3      0 4 0 4 0      3 2 3 1 4      2 0 4 2 2
  4 5 5 5 3      2 1 2 1 2      1 5 1 4 2      0 3 2 5 0
  4 0 5 0 3      1 5 1 5 1      4 3 4 2 5      3 1 5 3 3

Crossrefs

Column 4 of A234681.

Sequence in context: A020436 A104947 A030471 * A252063 A068756 A252099

Adjacent sequences: A234674 A234675 A234676 * A234678 A234679 A234680

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved