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A017397
a(n) = (11*n)^9.
1
0, 2357947691, 1207269217792, 46411484401953, 618121839509504, 4605366583984375, 23762680013799936, 95151694449171437, 316478381828866048, 913517247483640899, 2357947691000000000, 5559917313492231481
OFFSET
0,2
LINKS
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)=0, a(1)=2357947691, a(2)=1207269217792, a(3)=46411484401953, a(4)=618121839509504, a(5)=4605366583984375, a(6)=23762680013799936, a(7)=95151694449171437, a(8)=316478381828866048, a(9)=913517247483640899. - Harvey P. Dale, Aug 27 2013
MATHEMATICA
(11*Range[0, 20])^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {0, 2357947691, 1207269217792, 46411484401953, 618121839509504, 4605366583984375, 23762680013799936, 95151694449171437, 316478381828866048, 913517247483640899}, 20] (* Harvey P. Dale, Aug 27 2013 *)
PROG
(Magma) [(11*n)^9: n in [0..20]]; // Vincenzo Librandi, Sep 02 2011
CROSSREFS
Sequence in context: A132907 A038685 A017289 * A017661 A307748 A131013
KEYWORD
nonn,easy
STATUS
approved