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A161159 A003739(n)/(5*A001906(n)*A006238(n)). 2
9, 245, 7776, 254035, 8336079, 273725760, 8988999201, 295197803645, 9694285226784, 318360072624475, 10454936893196391, 343339870595441280, 11275272921720374649, 370279686003420394565, 12159975800265309667296 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Proposed by R. Guy in the seqfan list, Mar 28 2009.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..600

Index entries for linear recurrences with constant coefficients, signature (40,-248,430,-248,40,-1).

FORMULA

a(n) = 40*a(n-1) -248*a(n-2) +430*a(n-3) -248*a(n-4) +40*a(n-5) -a(n-6).

G.f.: x*(9-115*x+208*x^2-115*x^3+9*x^4)/((x^2-5*x+1)*(x^4-35*x^3+72*x^2-35*x+1)) .

MATHEMATICA

CoefficientList[Series[(9 - 115 x + 208 x^2 - 115 x^3 + 9 x^4)/((x^2 - 5 x + 1) (x^4 - 35 x^3 + 72 x^2 - 35x + 1)), {x, 0, 20}], x] (* Vincenzo Librandi, Dec 19 2012 *)

PROG

(MAGMA) I:=[9, 245, 7776, 254035, 8336079, 273725760]; [n le 6 select I[n] else 40*Self(n-1)-248*Self(n-2)+430*Self(n-3)-248*Self(n-4)+40*Self(n-5)-Self(n-6): n in [1..16]]; // Vincenzo Librandi, Dec 19 2012

CROSSREFS

Sequence in context: A259673 A272234 A272240 * A300757 A289551 A012202

Adjacent sequences:  A161156 A161157 A161158 * A161160 A161161 A161162

KEYWORD

nonn

AUTHOR

R. J. Mathar, Jun 03 2009

STATUS

approved

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Last modified October 21 22:47 EDT 2019. Contains 328315 sequences. (Running on oeis4.)