A234698 Number of (n+1) X (2+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 5 (constant-stress 1 X 1 tilings).

2628, 13952, 74308, 409268, 2261220, 12903164, 73793620, 434990348, 2565773508, 15562814252, 94270091668, 585903611948, 3628952476740, 23018623628204, 145209752122900, 936710697140588, 5998159579778628, 39231903137940332

Offset

1,1

Links

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

Formula

Empirical: a(n) = 15*a(n-1) +125*a(n-2) -2865*a(n-3) -1490*a(n-4) +219360*a(n-5) -507740*a(n-6) -8437740*a(n-7) +34905816*a(n-8) +161734320*a(n-9) -1006299360*a(n-10) -1062547200*a(n-11) +13887417600*a(n-12) -8926848000*a(n-13) -75188736000*a(n-14) +121927680000*a(n-15).

Example

Some solutions for n=3:
  7 3 3   1 6 4   5 2 3   4 1 4   0 2 1   3 1 0   6 6 1
  6 7 2   4 4 7   5 7 3   3 5 3   0 7 1   7 0 4   6 1 1
  5 1 1   2 7 5   6 3 4   4 1 4   4 6 5   4 2 1   6 6 1
  5 6 1   0 0 3   2 4 0   3 5 3   3 0 4   3 6 0   7 2 2

Crossrefs

Column 2 of A234702.

Sequence in context: A295482 A236621 A221941 * A190936 A020439 A254776

Adjacent sequences: A234695 A234696 A234697 * A234699 A234700 A234701

Keyword

nonn

Author

R. H. Hardin, Dec 29 2013

Status

approved