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A016941 a(n) = (6*n + 2)^9. 1
512, 134217728, 20661046784, 512000000000, 5429503678976, 35184372088832, 165216101262848, 618121839509504, 1953125000000000, 5416169448144896, 13537086546263552, 31087100296429568, 66540410775079424 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..2000

Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1).

FORMULA

a(n) = 10*a(n-1) - 45*a(n-2) + 120*a(n-3) - 210*a(n-4) + 252*a(n-5) - 210*a(n-6) + 120*a(n-7) - 45*a(n-8) + 10*a(n-9) - a(n-10); a(0)=512, a(1)=134217728, a(2)=20661046784, a(3)=512000000000, a(4)=5429503678976, a(5)=35184372088832, a(6)=165216101262848, a(7)=618121839509504, a(8)=1953125000000000, a(9)=5416169448144896. - Harvey P. Dale, Sep 21 2013

MATHEMATICA

(6*Range[0, 20]+2)^9 (* or *) LinearRecurrence[ {10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {512, 134217728, 20661046784, 512000000000, 5429503678976, 35184372088832, 165216101262848, 618121839509504, 1953125000000000, 5416169448144896}, 20] (* Harvey P. Dale, Sep 21 2013 *)

PROG

(MAGMA) [(6*n+2)^9: n in [0..25]]; // Vincenzo Librandi, May 05 2011

CROSSREFS

Sequence in context: A227607 A016881 A227663 * A017013 A017097 A160866

Adjacent sequences:  A016938 A016939 A016940 * A016942 A016943 A016944

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified February 20 00:28 EST 2019. Contains 320329 sequences. (Running on oeis4.)