A017238 a(n) = (9*n + 6)^6.

46656, 11390625, 191102976, 1291467969, 5489031744, 17596287801, 46656000000, 107918163081, 225199600704, 433626201009, 782757789696, 1340095640625, 2194972623936, 3462825991689, 5289852801024, 7858047974841, 11390625000000, 16157819263041, 22483074023424

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

G.f.: -729*(64 + 15177*x + 154113*x^2 + 262438*x^3 + 88998*x^4 + 4089*x^5 + x^6)/(x-1)^7. - R. J. Mathar, Mar 20 2018

Mathematica

(9*Range[0, 20]+6)^6 (* Harvey P. Dale, Oct 20 2025 *)
(* Alternative: *)
LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {46656, 11390625, 191102976, 1291467969, 5489031744, 17596287801, 46656000000}, 20] (* Harvey P. Dale, Oct 20 2025 *)

Prog

(Magma) [(9*n+6)^6: n in [0..25]]; // Vincenzo Librandi, Jul 25 2011
(Python)
def A017238(n): return (9*n+6)**6 # Aidan Chen, Jan 13 2026

Crossrefs

Sequence in context: A183620 A017058 A017142 * A223275 A017346 A017466

Adjacent sequences: A017235 A017236 A017237 * A017239 A017240 A017241

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved