A017469 a(n) = (11*n + 6)^9.

10077696, 118587876497, 10578455953408, 208728361158759, 1953125000000000, 11694146092834141, 51998697814228992, 186940255267540403, 572994802228616704, 1551328215978515625, 3802961274698203136

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..10000

Index entries for linear recurrences with constant coefficients, signature (10,-45,120,-210,252,-210,120,-45,10,-1).

Formula

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

G.f.: (10077696 +118487099537*x +9393030684758*x^2 +108279046743524*x^3 + 327643477452290*x^4 +311158545054314*x^5 +92052268491098*x^6 + 6938490608252*x^7 +68699945486*x^8 +1953125*x^9)/(1-x)^10.

E.g.f.: (10077696 +118577798801*x +5170645139055*x^2 +29558124475055*x^3 +49216997902380*x^4 +32588442284937*x^5 +9880686605790*x^6 + 1438737834930*x^7 +96461496450*x^8 +2357947691*x^9)*exp(x). (End)

Maple

seq((11*n+6)^9, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[0, 20]+6)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {10077696, 118587876497, 10578455953408, 208728361158759, 1953125000000000, 11694146092834141, 51998697814228992, 186940255267540403, 572994802228616704, 1551328215978515625}, 20] (* Harvey P. Dale, Jan 15 2019 *)

Prog

(Magma) [(11*n+6)^9: n in [0..20]]; // Vincenzo Librandi, Sep 04 2011
(PARI) vector(20, n, (11*n-5)^9) \\ G. C. Greubel, Sep 19 2019
(Sage) [(11*n+6)^9 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+6)^9); # G. C. Greubel, Sep 19 2019

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), this sequence (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Sequence in context: A017145 A017241 A017349 * A017601 A186173 A043644

Adjacent sequences: A017466 A017467 A017468 * A017470 A017471 A017472

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved