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A081437 Diagonal in array of n-gonal numbers A081422. +0
8
1, 10, 33, 76, 145, 246, 385, 568, 801, 1090, 1441, 1860, 2353, 2926, 3585, 4336, 5185, 6138, 7201, 8380, 9681, 11110, 12673, 14376, 16225, 18226, 20385, 22708, 25201, 27870, 30721, 33760, 36993, 40426, 44065, 47916, 51985, 56278, 60801, 65560 (list; graph; listen)
OFFSET

0,2

COMMENT

One of a family of sequences with palindromic generators.

FORMULA

a(n)=n^3+4n^2+4n+1. G.f. (1+5x-7x^2+x^3)/(1-x)^5.

MAPLE

a:=n->sum(n*k, k=0..n):seq(a(n)+sum(n*k, k=2..n), n=1...40); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 10 2008

CROSSREFS

Cf. A081435, A081436, A081438.

Equals A027620(n-1) + 1.

Sequence in context: A063160 A065149 A085490 this_sequence A003012 A020478 A094170

Adjacent sequences: A081434 A081435 A081436 this_sequence A081438 A081439 A081440

KEYWORD

easy,nonn

AUTHOR

Paul Barry (pbarry(AT)wit.ie), Mar 21 2003

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Last modified September 8 08:06 EDT 2008. Contains 143486 sequences.


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