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A183677 Number of (n+1) X 5 0..7 arrays with every 2 X 2 subblock summing to 14. 1

%I

%S 90784,316232,1287136,5836328,28648864,149494472,819074656,4670563688,

%T 27537504544,167042421512,1038458116576,6595836942248,42695895281824,

%U 281093606593352,1879017187820896,12735396730476008,87413674868252704

%N Number of (n+1) X 5 0..7 arrays with every 2 X 2 subblock summing to 14.

%C Column 4 of A183680.

%H R. H. Hardin, <a href="/A183677/b183677.txt">Table of n, a(n) for n = 1..32</a>

%F Empirical: a(n) = 36*a(n-1) - 546*a(n-2) + 4536*a(n-3) - 22449*a(n-4) + 67284*a(n-5) - 118124*a(n-6) + 109584*a(n-7) - 40320*a(n-8).

%F Empirical g.f.: 8*x*(11348 - 368999*x + 4933856*x^2 - 34954265*x^3 + 140612372*x^4 - 317862116*x^5 + 368412624*x^6 - 165150720*x^7) / ((1 - x)*(1 - 2*x)*(1 - 3*x)*(1 - 4*x)*(1 - 5*x)*(1 - 6*x)*(1 - 7*x)*(1 - 8*x)). - _Colin Barker_, Apr 04 2018

%e Some solutions for 3 X 5:

%e ..6..6..7..5..7....4..2..5..0..4....0..2..6..2..0....2..2..5..5..5

%e ..2..0..1..1..1....7..1..6..3..7....6..6..0..6..6....5..5..2..2..2

%e ..6..6..7..5..7....3..3..4..1..3....0..2..6..2..0....4..0..7..3..7

%Y Cf. A183680.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 06 2011

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Last modified August 8 12:30 EDT 2022. Contains 356009 sequences. (Running on oeis4.)