A017458 a(n) = (11*n + 5)^10.

9765625, 1099511627776, 205891132094649, 6278211847988224, 79792266297612001, 604661760000000000, 3255243551009881201, 13744803133596058624, 48398230717929318249, 148024428491834392576

Offset

0,1

Links

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

Index entries for linear recurrences with constant coefficients, signature (11,-55,165,-330,462,-462,330,-165,55,-11,1).

Formula

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

G.f.: (9765625 +1099404205901*x +193797041298488*x^2 +4073880923146640* x^3 +21874532039020442*x^4 +38639279895450554*x^5 +24069986191404704*x^6 +4993111339147592*x^7 +274024159430165*x^8 +2015328772513*x^9 +60466176* x^10)/(1-x)^11.

E.g.f.: (9765625 +1099501862151*x +101846059302361*x^2 +943972829470330* x^3 +2329598652561730*x^4 +2220242776827075*x^5 +974547942271827*x^6 + 214025260632480*x^7 +23938528035675*x^8 +1285081491595*x^9 +25937424601* x^10)*exp(x). (End)

Maple

seq((11*n+5)^10, n=0..20); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[21] -6)^10 (* G. C. Greubel, Sep 19 2019 *)
LinearRecurrence[{11, -55, 165, -330, 462, -462, 330, -165, 55, -11, 1}, {9765625, 1099511627776, 205891132094649, 6278211847988224, 79792266297612001, 604661760000000000, 3255243551009881201, 13744803133596058624, 48398230717929318249, 148024428491834392576, 404555773570791015625}, 20] (* Harvey P. Dale, Aug 19 2020 *)

Prog

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

Sequence in context: A017134 A017230 A017338 * A017590 A234057 A214014

Adjacent sequences: A017455 A017456 A017457 * A017459 A017460 A017461

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved