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A051939 Truncated triangular pyramid numbers: a(n)=sum(k*(k+1)/2-18,k=6..n). +0
1
3, 13, 31, 58, 95, 143, 203, 276, 363, 465, 583, 718, 871, 1043, 1235, 1448, 1683, 1941, 2223, 2530, 2863, 3223, 3611, 4028, 4475, 4953, 5463, 6006, 6583, 7195, 7843, 8528, 9251, 10013, 10815, 11658, 12543, 13471, 14443, 15460, 16523, 17633, 18791 (list; graph; listen)
OFFSET

6,1

FORMULA

a(n)=1/6*(n-5)*(n^2+8*n-66)

Equals binomial transform of (3, 10, 8, 1, 0, 0, 0,...). - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jul 03 2008

MATHEMATICA

Table[1/6*(n - 5)*(n^2 + 8*n - 66), {n, 6, 60}] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Mar 31 2006

CROSSREFS

A000292.

Sequence in context: A077717 A145907 A054554 this_sequence A146728 A082709 A154833

Adjacent sequences: A051936 A051937 A051938 this_sequence A051940 A051941 A051942

KEYWORD

easy,nice,nonn

AUTHOR

Klaus Strassburger (strass(AT)ddfi.uni-duesseldorf.de), Dec 21 1999

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Last modified December 7 23:50 EST 2009. Contains 170430 sequences.


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