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A061711 a(n) = n!*n^n. 10
1, 1, 8, 162, 6144, 375000, 33592320, 4150656720, 676457349120, 140587147048320, 36288000000000000, 11388728893445164800, 4270826380475341209600, 1886009588552176549862400, 968725766854884321342259200, 572622616354851562500000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

a(n) is the product of first n terms of an arithmetic progression with first term n and common difference n. E.g. a(3) = 3*6*9 = 162. - Amarnath Murthy, Sep 20 2003

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..100 (corrected by Michel Marcus, Jan 19 2019)

FORMULA

E.g.f.: sinh(n*x)^n. - Vaclav Kotesovec, Nov 05 2014

a(n) = [x^n] 1/(1 - n*x/(1 - n*x/(1 - 2*n*x/(1 - 2*n*x/(1 - 3*n*x/(1 - 3*n*x/(1 - ...))))))), a continued fraction. - Ilya Gutkovskiy, Sep 20 2017

EXAMPLE

a(1)=1!*1^1=1, a(2)=2!*2^2=8, a(3)=3!*3^3=162.

MATHEMATICA

Table[If[n == 0, 1, n^n] * n!, {n, 0, 20}] (* Vaclav Kotesovec, Mar 08 2018 *)

PROG

(PARI) a(n) = n!*n^n; \\ Harry J. Smith, Jul 26 2009

CROSSREFS

Cf. A053042, A036679, A055775. - Vladimir Joseph Stephan Orlovsky, Jan 15 2009

Main diagonal of A131182.

Sequence in context: A061250 A183813 A222274 * A316998 A075387 A143857

Adjacent sequences:  A061708 A061709 A061710 * A061712 A061713 A061714

KEYWORD

easy,nonn

AUTHOR

Lorenzo Fortunato (fortunat(AT)pd.infn.it), Jun 19 2001

STATUS

approved

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Last modified April 18 22:08 EDT 2019. Contains 322237 sequences. (Running on oeis4.)