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A256766 Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum 1

%I #4 Apr 09 2015 21:30:55

%S 9152,81796,475904,2768896,13278720,63680400,277704000,1211040000,

%T 5037021600,20950246564,85158087248,346148662336,1392238414592,

%U 5599697511424,22422624104192,89785934095936,358953258998256

%N Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum

%C Column 3 of A256771

%H R. H. Hardin, <a href="/A256766/b256766.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +36*a(n-2) -434*a(n-3) -293*a(n-4) +10602*a(n-5) -7308*a(n-6) -154260*a(n-7) +228465*a(n-8) +1487700*a(n-9) -3131964*a(n-10) -9978138*a(n-11) +27428457*a(n-12) +47114850*a(n-13) -170182908*a(n-14) -151549536*a(n-15) +783764700*a(n-16) +279527832*a(n-17) -2745078624*a(n-18) +60117408*a(n-19) +7400681712*a(n-20) -2312412192*a(n-21) -15409556928*a(n-22) +8541174528*a(n-23) +24660582720*a(n-24) -19139776896*a(n-25) -29880981504*a(n-26) +30120950784*a(n-27) +26559178752*a(n-28) -34513588224*a(n-29) -16160882688*a(n-30) +28802875392*a(n-31) +5486100480*a(n-32) -17101062144*a(n-33) +143917056*a(n-34) +6853754880*a(n-35) -1077936128*a(n-36) -1663041536*a(n-37) +452984832*a(n-38) +184549376*a(n-39) -67108864*a(n-40)

%e Some solutions for n=2

%e ..1..1..0..0..0....1..0..1..0..0....0..1..0..0..0....0..0..1..0..0

%e ..0..1..0..1..0....1..1..0..1..0....0..1..0..0..1....1..1..1..0..1

%e ..0..0..0..0..1....0..1..1..1..0....0..0..1..1..1....0..0..1..1..1

%e ..0..1..0..1..0....1..0..1..1..1....0..0..0..1..1....0..0..0..1..1

%Y Cf. A256771

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 09 2015

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Last modified June 16 08:45 EDT 2024. Contains 373424 sequences. (Running on oeis4.)