A008790 a(n) = n^(n+4).
0, 1, 64, 2187, 65536, 1953125, 60466176, 1977326743, 68719476736, 2541865828329, 100000000000000, 4177248169415651, 184884258895036416, 8650415919381337933, 426878854210636742656, 22168378200531005859375
Offset: 0
Links
- Vincenzo Librandi, Table of n, a(n) for n = 0..200
- Milan Janjic, Enumerative Formulas for Some Functions on Finite Sets
Crossrefs
Programs
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GAP
List([0..20], n-> n^(n+4)); # G. C. Greubel, Sep 11 2019
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Magma
[n^(n+4): n in [0..20]]; // Vincenzo Librandi, Jun 11 2013
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Maple
a:=n->mul(n,k=-3..n):seq(a(n),n=0..20); # Zerinvary Lajos, Jan 26 2008
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Mathematica
Table[n^(n+4),{n,0,20}](* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *) -
PARI
vector(20, n, (n-1)^(n+3)) \\ G. C. Greubel, Sep 11 2019
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Sage
[n^(n+4) for n in (0..20)] # G. C. Greubel, Sep 11 2019
Formula
E.g.f.: T*(1 +22*T +58*T^2 +24*T^3)*(1-T)^(-9); where T is Euler's tree function (see A000169). - Len Smiley, Nov 17 2001
E.g.f.: d^4/dx^4 {x^4/(T(x)^4*(1-T(x)))}, where T(x) = Sum_{n>=1} n^(n-1)*x^n/n! is the tree function of A000169. - Peter Bala, Aug 05 2012
Comments