A227313 Sum of squared terms in rows of triangle A227311.

4, 16, 64, 320, 1424, 6400, 28928, 131328, 599428, 2746176, 12627520, 58237952, 269284240, 1247921152, 5794490624, 26952340480, 125559053904, 585733448080, 2735853906496, 12793091964160, 59883014554112, 280568427766016, 1315670787139840, 6174463935221760, 28998036439469524, 136279914514165568, 640867368366269056

Offset

1,1

Links

Table of n, a(n) for n=1..27.

Example

 L.g.f.: L(x) = 4*x + 16*x^2/2 + 64*x^3/3 + 320*x^4/4 + 1424*x^5/5 + 6400*x^6/6 +...
where
exp(L(x)) = 1 + 4*x + 16*x^2 + 64*x^3 + 272*x^4 + 1168*x^5 + 5056*x^6 + 22016*x^7 +...

Prog

 (PARI) {A227311(n, k)=n*polcoeff(polcoeff(log(1 + 2*sum(m=1, sqrtint(n), y^m*x^(m^2))+x*O(x^n)), n, x), k, y)}
{a(n)=sum(k=1, n, A227311(n, k)^2)}
for(n=1, 36, print1(a(n), ", "))

Crossrefs

Cf. A227311.

Sequence in context: A294036 A097679 A158778 * A155518 A005401 A002923

Adjacent sequences: A227310 A227311 A227312 * A227314 A227315 A227316

Keyword

nonn

Author

Paul D. Hanna, Jul 06 2013

Status

approved