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

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+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).

Programs

GAP

List([0..20], n-> (11*n+5)^7); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+5)^7: n in [0..20]]; // Vincenzo Librandi, Sep 03 2011

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 *)

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

Formula

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

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

E.g.f.: (78125 [phone]*x [phone]*x^2 [phone]*x^3 + 11760383250*x^4 [phone]*x^5 [phone]*x^6 [phone]*x^7)*exp(x). (End)