A017022 a(n) = (7*n + 3)^6.

729, 1000000, 24137569, 191102976, 887503681, 3010936384, 8303765625, 19770609664, 42180533641, 82653950016, 151334226289, 262144000000, 433626201009, 689869781056, 1061520150601, 1586874322944

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

Formula

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

G.f.: (729 + 994897*x + 17152878*x^2 + 43114478*x^3 + 21697313*x^4 + 1742889*x^5 + 4096*x^6)/(1-x)^7.

E.g.f.: (729 + 999271*x + 11069149*x^2 + 20281590*x^3 + 10996580*x^4 + 2067261*x^5 + 117649*x^6)*exp(x). (End)

Mathematica

(7*Range[0, 40] +3)^6 (* G. C. Greubel, Oct 17 2023 *)

Prog

(Magma) [(7*n+3)^6: n in [0..35]]; // Vincenzo Librandi, Jul 14 2011
(SageMath) [(7*n+3)^6 for n in range(41)] # G. C. Greubel, Oct 17 2023

Crossrefs

Cf. A017017 - A017021, A017023 - A017028.

Sequence in context: A223574 A184692 A272066 * A017106 A017202 A013791

Adjacent sequences: A017019 A017020 A017021 * A017023 A017024 A017025

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved