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A027379 Expansion of (1+x^2-x^3)/(1-x)^3. +0
7
1, 3, 7, 12, 18, 25, 33, 42, 52, 63, 75, 88, 102, 117, 133, 150, 168, 187, 207, 228, 250, 273, 297, 322, 348, 375, 403, 432, 462, 493, 525, 558, 592, 627, 663, 700, 738, 777, 817, 858, 900, 943, 987, 1032, 1078 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n)=n(n+5)/2 for n>=1. - Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 01 2004

MATHEMATICA

f[1]=1; f[n_] := Sum[ Binomial[k+1, k ], {k, 2, n}]; Table[ f[n], {n, 1, 45}] - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 31 2007

CROSSREFS

Essentially the triangular numbers (A000217) minus 3. Also essentially the same as A055998. Cf. A034856, A046691.

Sequence in context: A140778 A095115 A141214 this_sequence A055998 A066379 A024517

Adjacent sequences: A027376 A027377 A027378 this_sequence A027380 A027381 A027382

KEYWORD

nonn

AUTHOR

njas

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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