A017024 a(n) = (7*n + 3)^8.

6561, 100000000, 6975757441, 110075314176, 852891037441, 4347792138496, 16815125390625, 53459728531456, 146830437604321, 360040606269696, 806460091894081, 1677721600000000, 3282116715437121, 6095689385410816

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

From G. C. Greubel, Oct 17 2023: (Start)

G.f.: (6561 +99940951*x +6075993637*x^2 +50892946083*x^3 +104941304419*x^4 +61119660133*x^5 +9093089943*x^6 +213769057*x^7 +65536*x^8)/(1-x)^9.

E.g.f.: (6561 +99993439*x +3387882001*x^2 +14908005882*x^3 +18918513831*x^4 +9290270934*x^5 +1978150286*x^6 +181179460*x^7 +5764801*x^8)*exp(x). (End)

Mathematica

(7*Range[0, 40] +3)^8 (* G. C. Greubel, Oct 17 2023 *)

Prog

(Magma) [(7*n+3)^8: n in [0..30]]; // Vincenzo Librandi, Jul 14 2011
(SageMath) [(7*n+3)^8 for n in range(41)] # G. C. Greubel, Oct 17 2023

Crossrefs

Cf. A017017 - A017023, A017025 - A017028.

Sequence in context: A016892 A016952 A272067 * A017108 A013853 A017204

Adjacent sequences: A017021 A017022 A017023 * A017025 A017026 A017027

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved