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A258677 Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum 1

%I #4 Jun 07 2015 09:29:10

%S 43264,456976,5973136,78074896,916151824,10750371856,133333061904,

%T 1653682833936,19942405038864,240493225528336,2942195865808144,

%U 35994845566901776,437158394693484304,5309300791297536016

%N Number of (n+2)X(4+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum

%C Column 4 of A258681

%H R. H. Hardin, <a href="/A258677/b258677.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 17*a(n-1) -68*a(n-2) +132*a(n-3) +5848*a(n-4) -103512*a(n-5) +338752*a(n-6) +491712*a(n-7) -11065856*a(n-8) +134969856*a(n-9) -439611392*a(n-10) -456462336*a(n-11) +6754926592*a(n-12) -57485033472*a(n-13) +186243874816*a(n-14) +80580968448*a(n-15) -1515720802304*a(n-16) +8690463670272*a(n-17) -27366457868288*a(n-18) +6046240210944*a(n-19) +106652627894272*a(n-20) -448600744132608*a(n-21) +1337006139375616*a(n-22) -844424930131968*a(n-23) -2251799813685248*a(n-24) +6755399441055744*a(n-25) -18014398509481984*a(n-26) +18014398509481984*a(n-27)

%e Some solutions for n=1

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

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

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

%Y Cf. A258681

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 07 2015

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Last modified June 22 09:29 EDT 2024. Contains 373568 sequences. (Running on oeis4.)