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A017457 a(n) = (11*n + 5)^9. 12
1953125, 68719476736, 7625597484987, 165216101262848, 1628413597910449, 10077696000000000, 45848500718449031, 167619550409708032, 520411082988487293, 1423311812421484544, 3517876291919921875 (list; graph; refs; listen; history; text; internal format)
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.: (1953125 +68699945486*x +6938490608252*x^2 +92052268491098*x^3 +311158545054314*x^4 +327643477452290*x^5 +108279046743524*x^6 +9393030684758*x^7 +118487099537*x^8 +10077696*x^9)/(1-x)^10.

E.g.f.: (1953125 +68717523611*x +3744080242320*x^2 +23757577547495*x^3 +42209495908965*x^4 +29265638697141*x^5 +9191914318356*x^6 +1377002477202*x^7 +94532266521*x^8 +2357947691*x^9)*exp(x). (End)

MAPLE

seq((11*n+5)^9, n=0..20); # G. C. Greubel, Sep 19 2019

MATHEMATICA

(11Range[0, 20]+5)^9 (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1953125, 68719476736, 7625597484987, 165216101262848, 1628413597910449, 10077696000000000, 45848500718449031, 167619550409708032, 520411082988487293, 1423311812421484544}, 20] (* Harvey P. Dale, Apr 08 2019 *)

PROG

(MAGMA) [(11*n+5)^9: n in [0..20]]; // Vincenzo Librandi, Sep 03 2011

(PARI) vector(20, n, (11*n-6)^9) \\ G. C. Greubel, Sep 19 2019

(Sage) [(11*n+5)^9 for n in (0..20)] # G. C. Greubel, Sep 19 2019

(GAP) List([0..20], n-> (11*n+5)^9); # G. C. Greubel, Sep 19 2019

CROSSREFS

Powers of the form (11*n+5)^m: A017449 (m=1), A017450 (m=2), A017451 (m=3), A017452 (m=4), A017453 (m=5), A017454 (m=6), A017455 (m=7), A017456 (m=8), this sequence (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Sequence in context: A017133 A017229 A017337 * A017589 A308761 A236910

Adjacent sequences:  A017454 A017455 A017456 * A017458 A017459 A017460

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 22 23:50 EST 2022. Contains 350504 sequences. (Running on oeis4.)