A109764 Sum of the first n^2 squares.

0, 14, 204, 1240, 4900, 14910, 38024, 85344, 173880, 328350, 583220, 984984, 1594684, 2490670, 3771600, 5559680, 8004144, 11284974, 15616860, 21253400, 28491540, 37676254, 49205464, 63535200, 81185000, 102743550, 128874564

Offset

1,2

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

a(n) = n^2*(n^2-1)*(2*n^2-1)/6. G.f.: 2*x^2*(1+x)*(7*x^2+46*x+7)/(1-x)^7. [From R. J. Mathar, Jun 28 2010]

Prog

(PARI) for(j=1, 50, print1(sum(i=0, j^2-1, i^2), ", ")) (Klasen)

Crossrefs

Sequence in context: A221830 A068769 A113349 * A349283 A333949 A002961

Adjacent sequences: A109761 A109762 A109763 * A109765 A109766 A109767

Keyword

easy,nonn

Author

Giovanni Teofilatto, Aug 13 2005

Status

approved