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A008785 a(n) = (n+4)^n. 15
1, 5, 36, 343, 4096, 59049, 1000000, 19487171, 429981696, 10604499373, 289254654976, 8649755859375, 281474976710656, 9904578032905937, 374813367582081024, 15181127029874798299, 655360000000000000000, 30041942495081691894741, 1457498964228107529355264 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
E.g.f.(x) for b(n) = n^(n-4) = a(n-4): T - (7/8)*T^2 + (11/36)*T^3 - (1/24)*T^4, where T = T(x) is Euler's tree function (see A000169). - Len Smiley, Nov 17 2001
E.g.f.: LambertW(-x)^4/(x^4*(1+LambertW(-x))). - Vladeta Jovovic, Nov 07 2003
E.g.f.: (1/3)*d/dx(LambertW(-x)/(-x))^3. - Wolfdieter Lang, Oct 25 2022
MATHEMATICA
Table[(n+4)^n, {n, 0, 20}] (* Vladimir Joseph Stephan Orlovsky, Dec 26 2010 *)
PROG
(Magma) [(n+4)^n: n in [0..20]]; // Vincenzo Librandi, Jun 11 2013
(PARI) vector(20, n, (n+3)^(n-1)) \\ G. C. Greubel, Nov 09 2017
(Sage) [(n+4)^n for n in (0..20)] # G. C. Greubel, Sep 11 2019
(GAP) List([0..20], n-> (n+4)^n); # G. C. Greubel, Sep 11 2019
CROSSREFS
Sequence in context: A261899 A109186 A099391 * A355494 A081918 A062024
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified March 19 07:49 EDT 2024. Contains 370958 sequences. (Running on oeis4.)