A017357 a(n) = (10*n + 7)^5.

16807, 1419857, 14348907, 69343957, 229345007, 601692057, 1350125107, 2706784157, 4984209207, 8587340257, 14025517307, 21924480357, 33038369407, 48261724457, 68641485507, 95388992557, 129891985607

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (6, -15, 20, -15, 6, -1).

Formula

G.f.: (16807+1319015*x+6081870*x^2+4212230*x^3+369835*x^4+243*x^5)/ (-1+x)^6. - Harvey P. Dale, Jan 04 2022

Mathematica

(10*Range[0, 20]+7)^5 (* or *) LinearRecurrence[{6, -15, 20, -15, 6, -1}, {16807, 1419857, 14348907, 69343957, 229345007, 601692057}, 20] (* or *) CoefficientList[Series[(16807+1319015 x+6081870 x^2+4212230 x^3+369835 x^4+243 x^5)/(-1+x)^6, {x, 0, 20}], x] (* Harvey P. Dale, Jan 04 2022 *)

Prog

(Magma) [(10*n+7)^5: n in [0..30]]; // Vincenzo Librandi, Aug 30 2011

Crossrefs

Sequence in context: A017153 A265479 A017249 * A017477 A017609 A096550

Adjacent sequences: A017354 A017355 A017356 * A017358 A017359 A017360

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved