A088055 a(n) = n!*n^n - ((n^(n+1)-1)/(n-1) - 1) for n>1 with a(1)=0.

0, 2, 123, 5804, 371095, 33536334, 4149695921, 676438175160, 140586711200271, 36287988888888890, 11388728579602327129, 4270826370748686175140, 1886009588224061851054127, 968725766842917544760889030

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) = A061711(n) - A031972(n) for n>1 with a(1)=0.

Maple

seq(`if`(n=1, 0, n!*n^n - ((n^(n+1)-1)/(n-1) - 1)), n=1..16); # Georg Fischer, Dec 09 2022

Prog

(PARI) a(n) = if (n==1, 0, n!*n^n - ((n^(n+1)-1)/(n-1) - 1)); \\ Michel Marcus, Dec 10 2022

Crossrefs

Cf. A031972, A061711.

Sequence in context: A249504 A230586 A024244 * A065705 A012870 A183720

Adjacent sequences: A088052 A088053 A088054 * A088056 A088057 A088058

Keyword

nonn

Author

Amarnath Murthy, Sep 20 2003

Extensions

Corrected and extended by David Wasserman, Jun 27 2005

Edited by M. F. Hasler, Feb 12 2013

Formula negated by Georg Fischer, Dec 09 2022

Status

approved