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A088055 (n^(n+1)-1)/(n-1) - 1 - n!*n^n, or A031972(n) - A061711(n): sums of geometric progressions minus products of arithmetic progressions. 0
0, 2, 123, 5804, 371095, 33536334, 4149695921, 676438175160, 140586711200271, 36287988888888890, 11388728579602327129, 4270826370748686175140, 1886009588224061851054127, 968725766842917544760889030 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Original definition: a(n) = G(n) - A(n), where G(n) = Sum of the first n terms of a geometric progression with first term n and common ratio n. A(n) = Product of first n terms of an arithmetic progression with first term n and common difference n.

LINKS

Table of n, a(n) for n=1..14.

FORMULA

a(n) = A031972(n) - A061711(n) = (n^(n+1)-1)/(n-1) - 1 - n!*n^n.

CROSSREFS

Cf. A061711, A031972.

Sequence in context: A056638 A222873 A024244 * A065705 A012870 A183720

Adjacent sequences:  A088052 A088053 A088054 * A088056 A088057 A088058

KEYWORD

nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Sep 20 2003

EXTENSIONS

Corrected and extended by David Wasserman, Jun 27 2005

Edited by M. F. Hasler, Feb 12 2013

STATUS

approved

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Last modified May 19 07:18 EDT 2013. Contains 225429 sequences.