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A017454 a(n) = (11*n + 5)^6. 12
15625, 16777216, 387420489, 3010936384, 13841287201, 46656000000, 128100283921, 304006671424, 646990183449, 1265319018496, 2313060765625, 4001504141376, 6611856250609, 10509215371264, 16157819263041, 24137569000000, 35161828327081, 50096498540544, 69980368892329 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

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

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n) = 7*a(n-1) -21*a(n-2) +35*a(n-3) -35*a(n-4) +21*a(n-5) -7*a(n-6) + a(n-7); a(0)=15625, a(1)=16777216, a(2)=387420489, a(3)=3010936384, a(4)=13841287201, a(5)=46656000000, a(6)=128100283921. - Harvey P. Dale, Dec 12 2013

From G. C. Greubel, Sep 18 2019: (Start)

G.f.: (15625 +16667841*x +270308102*x^2 +650767622*x^3 +313907097*x^4 +23810977*x^5 +46656*x^6)/(1-x)^7.

E.g.f.: (15625 +16761591*x +176940841*x^2 +316498490*x^3 +168957140*x^4 +31404945*x^5 +1771561*x^6)*exp(x). (End)

MAPLE

seq((11*n+5)^6, n=0..20); # G. C. Greubel, Sep 18 2019

MATHEMATICA

(11*Range[0, 30]+5)^6 (* or *) LinearRecurrence[{7, -21, 35, -35, 21, -7, 1}, {15625, 16777216, 387420489, 3010936384, 13841287201, 46656000000, 128100283921}, 30] (* Harvey P. Dale, Dec 12 2013 *)

PROG

(MAGMA) [(11*n+5)^6: n in [0..20]]; // Vincenzo Librandi, Sep 03 2011

(PARI) vector(20, n, (11*n-6)^6) \\ G. C. Greubel, Sep 18 2019

(Sage) [(11*n+5)^6 for n in (0..20)] # G. C. Greubel, Sep 18 2019

(GAP) List([0..20], n-> (11*n+5)^6); # G. C. Greubel, Sep 18 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), this sequence (m=6), A017455 (m=7), A017456 (m=8), A017457 (m=9), A017458 (m=10), A017459 (m=11), A017460 (m=12).

Sequence in context: A223232 A017334 A265934 * A223262 A017586 A223320

Adjacent sequences:  A017451 A017452 A017453 * A017455 A017456 A017457

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 23 16:20 EDT 2021. Contains 348215 sequences. (Running on oeis4.)