A017456 a(n) = (11*n + 5)^8.

390625, 4294967296, 282429536481, 4347792138496, 33232930569601, 167961600000000, 645753531245761, 2044140858654976, 5595818096650401, 13685690504052736, 30590228625390625, 63527879748485376, 124097929967680321, 230193853492166656, 408485828788939521

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (9,-36,84,-126,126,-84,36,-9,1).

Formula

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

G.f.: (390625 +4291451671*x +243788893317*x^2 +1960512320323*x^3 +3909536602339*x^4 +2202777455589*x^5 +315080647543*x^6 +6960640897*x^7 +1679616*x^8)/(1-x)^9.

E.g.f.: (390625 +4294576671*x +136919996257*x^2 +585564673386*x^3 +729964989831*x^4 +353933730150*x^5 +74628778686*x^6 +6781535508*x^7 + 214358881*x^8)*exp(x). (End)

Maple

seq((11*n+5)^8, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11Range[0, 20]+5)^8  (* Harvey P. Dale, Apr 23 2011 *)

Prog

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

Sequence in context: A017132 A017228 A017336 * A017588 A157741 A345612

Adjacent sequences: A017453 A017454 A017455 * A017457 A017458 A017459

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved