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A203726 Number of (n+1)X7 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively 1

%I

%S 5653,30335,151649,656441,2572189,9149941,29840078,90169885,254772252,

%T 677808375,1708349490,4099750861,9411074257,20745960647,44074963416,

%U 90525011000,180253851924,348831174461,657549745576,1209715986779

%N Number of (n+1)X7 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively

%C Column 6 of A203728

%H R. H. Hardin, <a href="/A203726/b203726.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 9*a(n-1) -28*a(n-2) +12*a(n-3) +134*a(n-4) -294*a(n-5) -28*a(n-6) +876*a(n-7) -919*a(n-8) -833*a(n-9) +2312*a(n-10) -680*a(n-11) -2380*a(n-12) +2380*a(n-13) +680*a(n-14) -2312*a(n-15) +833*a(n-16) +919*a(n-17) -876*a(n-18) +28*a(n-19) +294*a(n-20) -134*a(n-21) -12*a(n-22) +28*a(n-23) -9*a(n-24) +a(n-25) for n>36

%e Some solutions for n=4

%e ..2..0..1..0..0..0..1....2..1..1..1..1..1..1....0..0..1..1..1..2..2

%e ..0..2..1..2..2..2..2....1..2..2..2..2..2..2....0..2..2..2..2..2..2

%e ..1..1..2..2..2..2..2....1..2..2..2..2..2..2....1..2..2..2..2..2..2

%e ..1..2..2..2..2..2..2....2..2..2..2..2..2..2....1..2..2..2..2..2..2

%e ..1..2..2..2..2..2..2....2..2..2..2..2..2..2....1..2..2..2..2..2..2

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 05 2012

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Last modified September 29 02:55 EDT 2022. Contains 357082 sequences. (Running on oeis4.)