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A061711 a(n) = n!*n^n. 10

%I

%S 1,1,8,162,6144,375000,33592320,4150656720,676457349120,

%T 140587147048320,36288000000000000,11388728893445164800,

%U 4270826380475341209600,1886009588552176549862400,968725766854884321342259200,572622616354851562500000000000

%N a(n) = n!*n^n.

%C 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

%H Harry J. Smith, <a href="/A061711/b061711.txt">Table of n, a(n) for n = 0..100</a> (corrected by Michel Marcus, Jan 19 2019)

%F E.g.f.: sinh(n*x)^n. - _Vaclav Kotesovec_, Nov 05 2014

%F 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

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

%t Table[If[n == 0, 1, n^n] * n!, {n, 0, 20}] (* _Vaclav Kotesovec_, Mar 08 2018 *)

%o (PARI) a(n) = n!*n^n; \\ _Harry J. Smith_, Jul 26 2009

%Y Cf. A053042, A036679, A055775. - _Vladimir Joseph Stephan Orlovsky_, Jan 15 2009

%Y Main diagonal of A131182.

%K easy,nonn

%O 0,3

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

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Last modified May 24 15:25 EDT 2019. Contains 323532 sequences. (Running on oeis4.)