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A017360 a(n) = (10*n + 7)^8. 1
5764801, 6975757441, 282429536481, 3512479453921, 23811286661761, 111429157112001, 406067677556641, 1235736291547681, 3282116715437121, 7837433594376961, 17181861798319201, 35114532758015841, 67675234241018881 (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 (9, -36, 84, -126, 126, -84, 36, -9, 1).

FORMULA

a(n) = 9*a(n-1) - 36*a(n-2) + 84*a(n-3) - 126*a(n-4) + 126*a(n-5) - 84*a(n-6) + 36*a(n-7) - 9*a(n-8) + a(n-9); a(0)=5764801, a(1)=6975757441, a(2)=282429536481, a(3)=3512479453921, a(4)=23811286661761, a(5)=111429157112001, a(6)=406067677556641, a(7)=1235736291547681, a(8)=3282116715437121. - Harvey P. Dale, Aug 25 2012

MATHEMATICA

(10*Range[0, 20]+7)^8 (* or *) LinearRecurrence[{9, -36, 84, -126, 126, -84, 36, -9, 1}, {5764801, 6975757441, 282429536481, 3512479453921, 23811286661761, 111429157112001, 406067677556641, 1235736291547681, 3282116715437121}, 20] (* Harvey P. Dale, Aug 25 2012 *)

PROG

(MAGMA) [(10*n+7)^8: n in [0..20]]; // Vincenzo Librandi, Aug 30 2011

(PARI) vector(20, n, n--; (10*n+7)^8) \\ G. C. Greubel, Nov 10 2018

CROSSREFS

Cf. A017353 (10*n+7), A001016 (n^8).

Sequence in context: A016988 A017156 A017252 * A017480 A017612 A235983

Adjacent sequences:  A017357 A017358 A017359 * A017361 A017362 A017363

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified June 15 10:17 EDT 2021. Contains 345048 sequences. (Running on oeis4.)