A017503 a(n) = (11*n + 9)^7.

4782969, 1280000000, 27512614111, 230539333248, 1174711139837, 4398046511104, 13348388671875, 34792782221696, 80798284478113, 171382426877952, 337931541778439, 627485170000000, 1107984764452581, 1874584905187328, 3057125241215467, 4828861374436224

Offset

0,1

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Formula

a(n) = A001015(A017497(n)). - Michel Marcus, Nov 21 2013

From G. C. Greubel, Oct 28 2019: (Start)

G.f.: (4782969 + 1241736248*x + 17406537243*x^2 + 46010574096*x^3 + 29404476791*x^4 + 4084486872*x^5 + 62747493*x^6 + 128*x^7)/(1-x)^8.

E.g.f.: (4782969 + 1275217031*x + 12478698540*x^2 + 25306117991*x^3 + 17188094770*x^4 + 4676276836*x^5 + 520838934*x^6 + 19487171*x^7)*exp(x). (End)

Maple

A017503:=n->(11*n+9)^7; seq(A017503(n), n=0..50); # Wesley Ivan Hurt, Nov 20 2013

Mathematica

Table[(11n+9)^7, {n, 0, 50}] (* Wesley Ivan Hurt, Nov 20 2013 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {4782969, 1280000000, 27512614111, 230539333248, 1174711139837, 4398046511104, 13348388671875, 34792782221696}, 20] (* Harvey P. Dale, Nov 12 2022 *)

Prog

(PARI) vector(21, n, (11*n-2)^7) \\ G. C. Greubel, Oct 28 2019
(Magma) [(11*n+9)^7: n in [0..20]]; // G. C. Greubel, Oct 28 2019
(Sage) [(11*n+9)^7 for n in (0..20)] # G. C. Greubel, Oct 28 2019
(GAP) List([0..20], n-> (11*n+9)^7); # G. C. Greubel, Oct 28 2019

Crossrefs

Powers of the form (11*n+9)^m: A017497 (m=1), A017498 (m=2), A017499 (m=3), A017500 (m=4), A017501 (m=5), A017502 (m=6), this sequence (m=7), A017504 (m=8), A017505 (m=9), A017506 (m=10), A017607 (m=11), A017508 (m=12).

Subsequence of A001015.

Sequence in context: A017083 A017167 A017383 * A017635 A203655 A248587

Adjacent sequences: A017500 A017501 A017502 * A017504 A017505 A017506

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved