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A198402 a(n) = 5^n * n^5. 2
0, 5, 800, 30375, 640000, 9765625, 121500000, 1313046875, 12800000000, 115330078125, 976562500000, 7863818359375, 60750000000000, 453238525390625, 3282617187500000, 23174285888671875, 160000000000000000, 1083264923095703125 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (30,-375,2500,-9375,18750,-15625).

FORMULA

G.f.: 5*x*(1 + 130*x + 1650*x^2 + 3250*x^3 + 625*x^4)/(1-5*x)^6. - Colin Barker, Apr 30 2013

E.g.f.: 5*x*(1 + 75*x + 625*x^2 + 1250*x^3 + 625*x^4)*exp(5*x). - G. C. Greubel, May 18 2022

a(n) = A000351(n)*A000584(n). - Michel Marcus, May 19 2022

MATHEMATICA

With[{m = 5}, Table[n^m*m^n, {n, 0, 30}]] (* G. C. Greubel, May 18 2022 *)

PROG

(Magma) [5^n*n^5: n in [0..20]]

(PARI) a(n)=5^n*n^5 \\ Charles R Greathouse IV, Jul 06 2017

(SageMath) m=5; [n^m*m^n for n in (0..30)] # G. C. Greubel, May 18 2022

CROSSREFS

Cf. A000351, A000584, A097206.

Sequences of the form n^m*m^n: A001477 (m=1), A007758 (m=2), A062074 (m=3), A062075 (m=4), this sequence (m=5), A198403 (m=6), A098803 (m=7), A198404 (m=8), A198478 (m=9), A198479 (m=10), A098880 (m=11).

Sequence in context: A299226 A300038 A060713 * A214450 A332185 A085706

Adjacent sequences:  A198399 A198400 A198401 * A198403 A198404 A198405

KEYWORD

nonn,easy

AUTHOR

Vincenzo Librandi, Oct 27 2011

STATUS

approved

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Last modified August 18 04:45 EDT 2022. Contains 356204 sequences. (Running on oeis4.)