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A060493 A diagonal of A036969. 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
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
Sequence in context: A101645 A230692 A267992 * A198183 A259493 A253459
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

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)