A088055 - OEIS

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

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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