A211208 - OEIS

%I #12 Apr 04 2023 07:42:40

%S 1,2,3,10,26,92,282,1044,3558,13436,48578,185516,693332,2667160,

%T 10156772,39277160,151224134,587138284,2275980402,8864583324,

%U 34516282476,134779569352,526441907852,2060002196632,8065098605532,31615272898392,124004228696052

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

%H Paul D. Hanna, <a href="/A211208/b211208.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) = Sum_{k=0..n} A034851(n,k)^2.

%F Limit_{n->oo} a(n+1)/a(n) = 4.

%o (PARI) {a(n)=sum(k=0,n,(binomial(n, k) + binomial(n%2, k%2) * binomial(n\2, k\2))^2/4)}

%o for(n=0,30,print1(a(n),", "))

%Y Cf. A034851.

%K nonn

%O 0,2

%A _Paul D. Hanna_, Feb 04 2013