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A085742 T(n^3)-T(n) where T() are the triangular numbers (A000217). +0
1
0, 0, 33, 372, 2070, 7860, 23415, 58968, 131292, 266040, 500445, 886380, 1493778, 2414412, 3766035, 5696880, 8390520, 12071088, 17008857, 23526180, 32003790, 42887460, 56695023, 74023752, 95558100, 122077800, 154466325, 193719708 (list; graph; listen)
OFFSET

0,3

FORMULA

(n-1)n(n+1)(n^3+n+1)/2.

EXAMPLE

a(3)=T(3^3)-T(3)=T(27)-T(3)=378-6-372

PROGRAM

(PARI) t(n)=n*(n+1)/2; for(n=0, 50, print1(t(n^3)-t(n)", "))

CROSSREFS

Cf. A000217.

Sequence in context: A081932 A121994 A093743 this_sequence A107965 A058796 A002608

Adjacent sequences: A085739 A085740 A085741 this_sequence A085743 A085744 A085745

KEYWORD

nonn

AUTHOR

Jon Perry (perry(AT)globalnet.co.uk), Jul 21 2003

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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