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A060493 A diagonal of A036969. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..28.

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.: -(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. A036969.

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

STATUS

approved

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Last modified November 14 10:04 EST 2019. Contains 329111 sequences. (Running on oeis4.)