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A064808 The (n+1)st (n+2)-gonal number. +0
9
1, 3, 9, 22, 45, 81, 133, 204, 297, 415, 561, 738, 949, 1197, 1485, 1816, 2193, 2619, 3097, 3630, 4221, 4873, 5589, 6372, 7225, 8151, 9153, 10234, 11397, 12645, 13981, 15408, 16929, 18547, 20265, 22086, 24013, 26049, 28197, 30460, 32841, 35343 (list; graph; listen)
OFFSET

0,2

COMMENT

Sum of n terms of the arithmetic progression with first term 1 and common difference n-1. - Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 04 2005

FORMULA

a(n)=(n+1)(n^2+2)/2

a(n)=sum{k=0..n, sum{j=0..n, (k-(k-1)*C(0, j-k)}}; a(n)=A006002(n)-A000096(n-2). - Paul Barry (pbarry(AT)wit.ie), Nov 18 2005

CROSSREFS

Main diagonal of A057145.

Sequence in context: A063586 A131477 A002128 this_sequence A001937 A086817 A000715

Adjacent sequences: A064805 A064806 A064807 this_sequence A064809 A064810 A064811

KEYWORD

easy,nonn

AUTHOR

Floor van Lamoen (fvlamoen(AT)hotmail.com), Oct 22 2001

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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