A017443 a(n) = (11*n + 4)^7.

16384, 170859375, 8031810176, 94931877133, 587068342272, 2488651484819, 8235430000000, 22876792454961, 55784660123648, 122987386542487, 250226879128704, 476837158203125, 860542568759296, 1483273860320763

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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).

Crossrefs

Powers of the form (11*n+4)^m: A017437 (m=1), A017438 (m=2), A017439 (m=3), A017440 (m=4), A017441 (m=5), A017442 (m=6), this sequence (m=7), A017444 (m=8), A017445 (m=9), A017446 (m=10), A017447 (m=11), A017448 (m=12).

Programs

GAP

List([0..20], n-> (11*n+4)^7); # G. C. Greubel, Sep 18 2019

Magma

[(11*n+4)^7: n in [0..20]]; // G. C. Greubel, Sep 18 2019

Maple

seq((11*n+4)^7, n=0..20); # G. C. Greubel, Sep 18 2019

Mathematica

(11*Range[40] -7)^7 (* G. C. Greubel, Sep 18 2019 *)
LinearRecurrence[{8,-28,56,-70,56,-28,8,-1},{16384,170859375,8031810176,94931877133,587068342272,2488651484819,8235430000000,22876792454961},20] (* Harvey P. Dale, Dec 29 2024 *)

PARI

vector(20, n, (11*n-7)^7) \\ G. C. Greubel, Sep 18 2019

Sage

[(11*n+4)^7 for n in (0..20)] # G. C. Greubel, Sep 18 2019

Formula

From G. C. Greubel, Sep 18 2019: (Start)

G.f.: (16384 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 +823543*x^7)/(1-x)^8.

E.g.f.: (16384 [phone]*x [phone]*x^2 [phone]*x^3 [phone]*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7)*exp(x). (End)