A017467 a(n) = (11*n + 6)^7.

279936, 410338673, 13492928512, 137231006679, 781250000000, 3142742836021, 10030613004288, 27136050989627, 64847759419264, 140710042265625, 282621973446656, 532875860165503, 953133216331392, 1630436461403549, 2684354560000000, 4275360817613091, 6614541047773568

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..10000
• Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

Crossrefs

Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), A017465 (m=5), A017466 (m=6), this sequence (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Programs

GAP

List([0..20], n-> (11*n+6)^7); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^7: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+6)^7, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11 Range[0, 19] + 6)^7 (* Alonso del Arte, Nov 04 2017 *)

PARI

vector(20, n, (11*n-5)^7) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+6)^7 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

From G. C. Greubel, Sep 19 2019: (Start)

G.f.: (279936 [phone]*x [phone]*x^2 [phone]*x^3 [phone] *x^4 [phone]*x^5 [phone]*x^6 +78125*x^7)/(1-x)^8.

E.g.f.: (279936 [phone]*x [phone]*x^2 [phone]*x^3 + 12985102900*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7)*exp(x). (End)