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A140236 Double tetrahedral numbers (or double pyramidal numbers): a(n) = k(k+1)(k+2)/6 where k = n(n+1)(n+2)/6. 1
0, 1, 20, 220, 1540, 7770, 30856, 102340, 295240, 762355, 1798940, 3939936, 8104460, 15803060, 29426320, 52636760, 90889616, 152112005, 247574180, 392991060, 609896980, 927341646, 1383960600, 2030479100, 2932714200 (list; graph; refs; listen; history; internal format)
OFFSET

0,3

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 0..10000

FORMULA

a(n) = (n*(1 + n)*(2 + n)*(3 + n)*(2 + n^2)*(12 + n*(1 + n)*(2 + n)))/1296.

MATHEMATICA

Table[(n (1 + n) (2 + n) (3 + n) (2 + n^2) (12 + n (1 + n) (2 + n)))/1296, {n, 0, 20}]

CROSSREFS

Cf. A000292.

Sequence in context: A128823 A141790 A125408 * A004411 A140354 A155673

Adjacent sequences:  A140233 A140234 A140235 * A140237 A140238 A140239

KEYWORD

nonn

AUTHOR

Artur Jasinski (grafix(AT)csl.pl), May 14 2008

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Last modified February 17 00:09 EST 2012. Contains 205978 sequences.