A017272 a(n) = (10*n)^4.

0, 10000, 160000, 810000, 2560000, 6250000, 12960000, 24010000, 40960000, 65610000, 100000000, 146410000, 207360000, 285610000, 384160000, 506250000, 655360000, 835210000, 1049760000, 1303210000, 1600000000, 1944810000, 2342560000, 2798410000, 3317760000

Offset

0,2

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..250

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

Formula

G.f.: -10000*x*(1+x)*(x^2 + 10*x + 1)/(x-1)^5. - R. J. Mathar, Mar 20 2018

From Elmo R. Oliveira, Nov 27 2025: (Start)

E.g.f.: 10000*x*(1 + 7*x + 6*x^2 + x^3)*exp(x).

a(n) = 10000*A000583(n) = A016852(2*n) = A016744(5*n).

a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5). (End)

Mathematica

(10*Range[0, 20])^4 (* Harvey P. Dale, Dec 13 2016 *)
(* Alternative: *)
LinearRecurrence[{5, -10, 10, -5, 1}, {0, 10000, 160000, 810000, 2560000}, 20] (* Harvey P. Dale, Dec 13 2016 *)

Prog

(Magma) [(10*n)^4: n in [0..30]]; // Vincenzo Librandi, Jul 29 2011
(PARI) a(n)=(10*n)^4 \\ Charles R Greathouse IV, Jul 29 2011

Crossrefs

Cf. A000583, A016744, A016852.

Sequence in context: A277398 A326640 A017176 * A017512 A096968 A017644

Adjacent sequences: A017269 A017270 A017271 * A017273 A017274 A017275

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved