cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A211208 Sums of squares of terms in rows of Losanitsch's triangle (A034851).

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%I A211208 #12 Apr 04 2023 07:42:40
%S A211208 1,2,3,10,26,92,282,1044,3558,13436,48578,185516,693332,2667160,
%T A211208 10156772,39277160,151224134,587138284,2275980402,8864583324,
%U A211208 34516282476,134779569352,526441907852,2060002196632,8065098605532,31615272898392,124004228696052
%N A211208 Sums of squares of terms in rows of Losanitsch's triangle (A034851).
%H A211208 Paul D. Hanna, <a href="/A211208/b211208.txt">Table of n, a(n) for n = 0..1000</a>
%F A211208 a(n) = Sum_{k=0..n} A034851(n,k)^2.
%F A211208 Limit_{n->oo} a(n+1)/a(n) = 4.
%o A211208 (PARI) {a(n)=sum(k=0,n,(binomial(n, k) + binomial(n%2, k%2) * binomial(n\2, k\2))^2/4)}
%o A211208 for(n=0,30,print1(a(n),", "))
%Y A211208 Cf. A034851.
%K A211208 nonn
%O A211208 0,2
%A A211208 _Paul D. Hanna_, Feb 04 2013