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

1, 2, 3, 10, 26, 92, 282, 1044, 3558, 13436, 48578, 185516, 693332, 2667160, 10156772, 39277160, 151224134, 587138284, 2275980402, 8864583324, 34516282476, 134779569352, 526441907852, 2060002196632, 8065098605532, 31615272898392, 124004228696052

Offset: 0

Author

Paul D. Hanna, Feb 04 2013

Keywords

• nonn

Links

• Paul D. Hanna, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A034851.

Programs

PARI

{a(n)=sum(k=0,n,(binomial(n, k) + binomial(n%2, k%2) * binomial(n\2, k\2))^2/4)}
for(n=0,30,print1(a(n),", "))

Formula

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

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