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A154128 a(n) = 5^n*(n+4)!/n!. 1
24, 600, 9000, 105000, 1050000, 9450000, 78750000, 618750000, 4640625000, 33515625000, 234609375000, 1599609375000, 10664062500000, 69726562500000, 448242187500000, 2838867187500000, 17742919921875000, 109588623046875000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

Column 4 of square array A152818.

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (25, -250, 1250, -3125, 3125).

FORMULA

a(n) = 5^n*(n+4)*(n+3)*(n+2)*(n+1).

From R. J. Mathar, Feb 06 2009: (Start)

a(n) = A052762(n+4)*A000351(n).

a(n) = 24*A036071(n).

G.f: 24/(1-5*x)^5. (End)

From G. C. Greubel, Sep 02 2016: (Start)

a(n) = 25*a(n-1) - 250*a(n-2) + 1250*a(n-3) - 3125*a(n-4) + 3125*a(n-5).

E.g.f.: (24 + 480*x + 1800*x^2 + 2000*x^3 + 625*x^4)*exp(5*x). (End)

MATHEMATICA

LinearRecurrence[{25, -250, 1250, -3125, 3125}, {24, 600, 9000, 105000, 1050000}, 25] (* or *) Table[5^n*(n+4)*(n+3)*(n+2)*(n+1), {n, 0, 25}] (* G. C. Greubel, Sep 02 2016 *)

PROG

(MAGMA) [5^n*(n+4)*(n+3)*(n+2)*(n+1): n in [0..20]]; // Vincenzo Librandi, Aug 15 2011

CROSSREFS

Cf. A000142, A006043, A006044, A152818, A154120.

Sequence in context: A158637 A179059 A055359 * A001806 A144348 A167870

Adjacent sequences:  A154125 A154126 A154127 * A154129 A154130 A154131

KEYWORD

easy,nonn

AUTHOR

Omar E. Pol, Jan 05 2009

EXTENSIONS

More terms from R. J. Mathar, Feb 06 2009

STATUS

approved

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Last modified January 25 03:49 EST 2020. Contains 331241 sequences. (Running on oeis4.)