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

0,2

Links

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

Formula

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

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

Prog

(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), ", "))

Crossrefs

Cf. A034851.

Sequence in context: A370608 A182926 A005225 * A303836 A238937 A278088

Adjacent sequences: A211205 A211206 A211207 * A211209 A211210 A211211

Keyword

nonn

Author

Paul D. Hanna, Feb 04 2013

Status

approved