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 A017409 a(n) = (11n+1)^9. 0
 1, 5159780352, 1801152661463, 60716992766464, 756680642578125, 5416169448144896, 27206534396294947, 106868920913284608, 350356403707485209, 1000000000000000000, 2558036924386500591 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..10. Index entries for linear recurrences with constant coefficients, signature (10, -45, 120, -210, 252, -210, 120, -45, 10, -1). FORMULA a(0)=1, a(1)=5159780352, a(2)=1801152661463, a(3)=60716992766464, a(4)=756680642578125, a(5)=5416169448144896, a(6)=27206534396294947, a(7)=106868920913284608, a(8)=350356403707485209, a(9)=1000000000000000000, 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). - Harvey P. Dale, Mar 13 2013 MATHEMATICA (11*Range[0, 20]+1)^9 (* or *) LinearRecurrence[{10, -45, 120, -210, 252, -210, 120, -45, 10, -1}, {1, 5159780352, 1801152661463, 60716992766464, 756680642578125, 5416169448144896, 27206534396294947, 106868920913284608, 350356403707485209, 1000000000000000000}, 20] (* Harvey P. Dale, Mar 13 2013 *) CROSSREFS Sequence in context: A216013 A158726 A338394 * A017529 A321497 A335084 Adjacent sequences: A017406 A017407 A017408 * A017410 A017411 A017412 KEYWORD nonn,easy AUTHOR N. J. A. Sloane. STATUS approved

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Last modified August 11 23:45 EDT 2024. Contains 375082 sequences. (Running on oeis4.)