A180359 n^9+9n

0, 10, 530, 19710, 262180, 1953170, 10077750, 40353670, 134217800, 387420570, 1000000090, 2357947790, 5159780460, 10604499490, 20661046910, 38443359510, 68719476880, 118587876650, 198359290530, 322687697950, 512000000180

Offset

0,2

Links

Table of n, a(n) for n=0..20.

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). G.f.: 10*x*(1+43*x+1486*x^2+8773*x^3+15682*x^4+8773*x^5+1486*x^6+43*x^7+x^8)/(x -1)^10. [From R. J. Mathar, Sep 19 2010]

Crossrefs

Cf. A132411, A079908, A180354, A180355, A180356, A180357, A180358.

Sequence in context: A218720 A180476 A003399 * A289200 A014382 A325147

Adjacent sequences: A180356 A180357 A180358 * A180360 A180361 A180362

Keyword

easy,nonn

Author

Odimar Fabeny, Aug 30 2010

Extensions

a(0) corrected by R. J. Mathar, Sep 19 2010

Status

approved