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A008791 a(n) = n^(n+5). 14
0, 1, 128, 6561, 262144, 9765625, 362797056, 13841287201, 549755813888, 22876792454961, 1000000000000000, 45949729863572161, 2218611106740436992, 112455406951957393129, 5976303958948914397184, 332525673007965087890625 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
LINKS
FORMULA
E.g.f.(x): T*(1 + 52*T + 328*T^2 + 444*T^3 + 120*T^4)*(1-T)^(-11); where T=T(x) is Euler's tree function (see A000169). - Len Smiley, Nov 17 2001
See A008517 and A134991 for similar e.g.f.s and diagonals of A048993. - Tom Copeland, Oct 03 2011
E.g.f.: d^5/dx^5 {x^5/(T(x)^5*(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
MAPLE
a:=n->mul( n, k=-4..n): seq(a(n), n=0..20); # Zerinvary Lajos, Jan 26 2008
MATHEMATICA
Table[n^(n+5), {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)
PROG
(Magma) [n^(n+5): n in [0..20]]; // Vincenzo Librandi, Jun 11 2013
(PARI) vector(20, n, (n-1)^(n+4)) \\ G. C. Greubel, Sep 11 2019
(Sage) [n^(n+5) for n in (0..20)] # G. C. Greubel, Sep 11 2019
(GAP) List([0..20], n-> n^(n+5)); # G. C. Greubel, Sep 11 2019
CROSSREFS
Sequence in context: A297093 A185488 A283690 * A201239 A013700 A232995
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)