A227313 - OEIS

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

(list; graph; refs; listen; history; text; internal format)

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)}