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

Author

Amarnath Murthy, Sep 20 2003

Keywords

• nonn

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.

Crossrefs

Cf. A031972, A061711.

Programs

Maple

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

PARI

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

Formula

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

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