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A253842 Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally 1

%I #4 Jan 16 2015 13:19:32

%S 2440,6339,17491,50462,127376,308576,697720,1437880,2829830,5401152,

%T 9898048,17515235,30233597,50992733,84202870,136644718,218184447,

%U 343428681,534092439,821689196,1251051254,1887950780,2828007879

%N Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

%C Row 2 of A253841

%H R. H. Hardin, <a href="/A253842/b253842.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -5*a(n-2) +15*a(n-4) -44*a(n-5) +53*a(n-6) -8*a(n-7) -79*a(n-8) +196*a(n-9) -235*a(n-10) +88*a(n-11) +172*a(n-12) -472*a(n-13) +612*a(n-14) -392*a(n-15) -70*a(n-16) +656*a(n-17) -1054*a(n-18) +952*a(n-19) -426*a(n-20) -448*a(n-21) +1210*a(n-22) -1400*a(n-23) +1030*a(n-24) -112*a(n-25) -834*a(n-26) +1288*a(n-27) -1216*a(n-28) +584*a(n-29) +200*a(n-30) -728*a(n-31) +903*a(n-32) -628*a(n-33) +163*a(n-34) +232*a(n-35) -445*a(n-36) +364*a(n-37) -151*a(n-38) -32*a(n-39) +137*a(n-40) -116*a(n-41) +45*a(n-42) -20*a(n-44) +16*a(n-45) -4*a(n-46) for n>58

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 16 2015

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Last modified June 16 19:52 EDT 2024. Contains 373432 sequences. (Running on oeis4.)