A017470 a(n) = (11*n + 6)^10.

60466176, 2015993900449, 296196766695424, 8140406085191601, 97656250000000000, 713342911662882601, 3743906242624487424, 15516041187205853449, 53861511409489970176, 162889462677744140625

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 (11,-55,165,-330,462,-462,330,-165,55,-11,1).

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), A017467 (m=7), A017468 (m=8), A017469 (m=9), this sequence (m=10), A017471 (m=11), A017472 (m=12).

Programs

GAP

List([0..20], n-> (11*n+6)^10); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^10: n in [0..10]]; // Vincenzo Librandi, Sep 04 2011

Maple

seq((11*n+6)^10, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[20] -5)^10 (* G. C. Greubel, Sep 19 2019 *)

PARI

vector(20, n, (11*n-5)^10) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+6)^10 for n in (0..20)] # G. C. Greubel, Sep 19 2019

Formula

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

G.f.: (60466176 [phone]*x [phone]*x^2 +4993111339147592* x^3 +24069986191404704*x^4 +38639279895450554*x^5 +21874532039020442*x^6 +4073880923146640*x^7 [phone]*x^8 [phone]*x^9 +9765625* x^10)/(1-x)^11.

E.g.f.: (60466176 [phone]*x [phone]*x^2 +1209643951056750 *x^3 +2785989264344605*x^4 +2529281956307337*x^5 +1069882300751187*x^6 + 228102792962880*x^7 [phone]*x^8 [phone]*x^9 [phone]* x^10)*exp(x). (End)