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A115367 Row sums of correlation triangle for Fredholm-Rueppel sequence A036987. 1

%I #2 Mar 30 2012 18:59:13

%S 1,2,2,4,4,4,5,6,7,6,9,6,9,6,10,8,12,8,14,8,14,8,16,8,16,8,16,8,16,8,

%T 17,10,19,10,21,10,21,10,23

%N Row sums of correlation triangle for Fredholm-Rueppel sequence A036987.

%C If a sequence has g.f. A(x), its correlation triangle has g.f. A(x)A(x*y)/(1-x^2*y). (Observation due to Christian G. Bower).

%F G.f. : (sum{k>=0, x^(2k-1)})^2/(1-x^2); a(n)=sum{k=0..n, sum{j=0..k, A036987(j)}*sum{j=0..n-k, A036987(j)*(-1)^(n-k-j)}}.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jan 21 2006

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Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)