A017465 a(n) = (11*n + 6)^5.

7776, 1419857, 17210368, 90224199, 312500000, 844596301, 1934917632, 3939040643, 7339040224, 12762815625, 21003416576, 33038369407, 50049003168, 73439775749, 104857600000, 146211169851, 199690286432, 267785184193, 353305857024, 459401384375, 589579257376

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 (6,-15,20,-15,6,-1).

Crossrefs

Powers of the form (11*n+6)^m: A017461 (m=1), A017462 (m=2), A017463 (m=3), A017464 (m=4), this sequence (m=5), A017466 (m=6), A017467 (m=7), A017468 (m=8), A017469 (m=9), A017470 (m=10), A017471 (m=11), A017472 (m=12).

Programs

GAP

List([0..30], n-> (11*n+6)^5); # G. C. Greubel, Sep 19 2019

Magma

[(11*n+6)^5: n in [0..30]]; // Vincenzo Librandi, Sep 03 2011

Maple

seq((11*n+6)^5, n=0..30); # G. C. Greubel, Sep 19 2019

Mathematica

(11*Range[30] -5)^5 (* G. C. Greubel, Sep 19 2019 *)

PARI

vector(30, n, (11*n-5)^5) \\ G. C. Greubel, Sep 19 2019

Sage

[(11*n+6)^5 for n in (0..30)] # G. C. Greubel, Sep 19 2019

Formula

G.f.: (7776 +1373201*x +8807866*x^2 +8104326*x^3 +1029826*x^4 +3125*x^5 )/(1-x)^6. - Colin Barker, Sep 17 2012

E.g.f.: (7776 +1412081*x +7189215*x^2 +7140815*x^3 +2049740*x^4 + 161051*x^5)*exp(x). - G. C. Greubel, Sep 19 2019