A017455 a(n) = (11*n + 5)^7.

78125, 268435456, 10460353203, 114415582592, 678223072849, 2799360000000, 9095120158391, 24928547056768, 60170087060757, 131593177923584, 266001988046875, 504189521813376, 905824306333433, 1555363874947072, 2569093262823519, 4103386730000000, 6364290927201661, 9618527719784448

Offset

0,1

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).

Formula

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

G.f.: (78125 +267810456*x +8315057055*x^2 +38244574736*x^3 +40761385011* x^4 +10218057336*x^5 +408099185*x^6 +279936*x^7)/(1-x)^8.

E.g.f.: (78125 +268357331*x +4961780208*x^2 +13973291871*x^3 + 11760383250*x^4 +3742825240*x^5 +471235226*x^6 +19487171*x^7)*exp(x). (End)

Maple

seq((11*n+5)^7, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[21] -6)^7 (* G. C. Greubel, Sep 19 2019 *)
LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {78125, 268435456, 10460353203, 114415582592, 678223072849, 2799360000000, 9095120158391, 24928547056768}, 20] (* Harvey P. Dale, Apr 22 2024 *)

Prog

(Magma) [(11*n+5)^7: n in [0..20]]; // Vincenzo Librandi, Sep 03 2011
(PARI) vector(20, n, (11*n-6)^7) \\ G. C. Greubel, Sep 19 2019
(Sage) [(11*n+5)^7 for n in (0..20)] # G. C. Greubel, Sep 19 2019
(GAP) List([0..20], n-> (11*n+5)^7); # 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), this sequence (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Sequence in context: A017227 A265935 A017335 * A017587 A237565 A219333

Adjacent sequences: A017452 A017453 A017454 * A017456 A017457 A017458

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved