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A017010 a(n) = (7*n+2)^6. 1
64, 531441, 16777216, 148035889, 729000000, 2565726409, 7256313856, 17596287801, 38068692544, 75418890625, 139314069504, 243087455521, 404567235136, 646990183449, 1000000000000, 1500730351849, 2194972623936, 3138428376721, 4398046511104, 6053445140625 (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

From Wesley Ivan Hurt, Apr 22 2016: (Start)

G.f.: (64 + 530993*x + 13058473*x^2 + 41753398*x^3 + 26472118*x^4 + 2876609*x^5 + 15625*x^6)/(1 - x)^7.

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(n) = A001014(A017005(n)). (End)

E.g.f.: (64 + 531377*x + 7857199*x^2 + 16549750*x^3 + 9808085*x^4 + 1966419*x^5 + 117649*x^6)*exp(x). - Ilya Gutkovskiy, Apr 23 2016

MAPLE

A017010:=n->(7*n+2)^6: seq(A017010(n), n=0..40); # Wesley Ivan Hurt, Apr 22 2016

MATHEMATICA

(7 Range[0, 30] + 2)^6 (* Wesley Ivan Hurt, Apr 22 2016 *)

PROG

(MAGMA) [(7*n+2)^6: n in [0..25]]; // Vincenzo Librandi, Jul 13 2011

(PARI) lista(nn) = for(n=0, nn, print1((7*n+2)^6, ", ")); \\ Altug Alkan, Apr 24 2016

CROSSREFS

Cf. A001014, A017005.

Sequence in context: A139565 A214388 A016938 * A203255 A232722 A017094

Adjacent sequences:  A017007 A017008 A017009 * A017011 A017012 A017013

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified August 7 12:13 EDT 2020. Contains 336276 sequences. (Running on oeis4.)