A060493 A diagonal of A036969.

0, 1, 21, 147, 627, 2002, 5278, 12138, 25194, 48279, 86779, 148005, 241605, 380016, 578956, 857956, 1240932, 1756797, 2440113, 3331783, 4479783, 5939934, 7776714, 10064110, 12886510, 16339635, 20531511, 25583481, 31631257, 38826012, 47335512, 57345288, 69059848

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..10000

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

Formula

a(n) = n*(n + 1)*(n + 2)*(2*n + 1)*(2*n + 3)*(5*n - 1)/360; a(n) = Sum_{k=1..n} k^2 * Sum_{i=1..k} i^2 = Sum_{k=1..n} k^2*A000330(k). - Benoit Cloitre, Mar 20 2004

G.f.: -x*(4*x^3+21*x^2+14*x+1) / (x-1)^7. - Colin Barker, Dec 19 2012

Prog

(PARI) a(n)=n*(n + 1)*(n + 2)*(2*n + 1)*(2*n + 3)*(5*n - 1)/360

Crossrefs

Cf. A000330, A036969, A351105.

Sequence in context: A101645 A230692 A267992 * A198183 A259493 A253459

Adjacent sequences: A060490 A060491 A060492 * A060494 A060495 A060496

Keyword

nonn,easy

Author

Larry Reeves (larryr(AT)acm.org), Mar 20 2001

Extensions

Missing a(0)=0 inserted by Alois P. Heinz, Feb 19 2022

Status

approved