A196790 Binomial coefficients C(2*n-9,10).

11, 286, 3003, 19448, 92378, 352716, 1144066, 3268760, 8436285, 20030010, 44352165, 92561040, 183579396, 348330136, 635745396, 1121099408, 1917334783, 3190187286, 5178066751, 8217822536, 12777711870, 19499099620, 29248649430, 43183019880, 62828356305, 90177170226

Offset

10,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 10..200

Formula

G.f.: x^10*(11+165*x+462*x^2+330*x^3+55*x^4+x^5) / (1-x)^11. - R. J. Mathar, Oct 08 2011

From Amiram Eldar, Oct 21 2022: (Start)

Sum_{n>=10} 1/a(n) = 447187/252 - 2560*log(2).

Sum_{n>=10} (-1)^n/a(n) = 40*Pi + 80*log(2) - 6517/36. (End)

Mathematica

a[n_] := Binomial[2*n - 9, 10]; Array[a, 20, 10] (* Amiram Eldar, Oct 21 2022 *)

Prog

(Magma) [Binomial(2*n-9, 10): n in [10..40]];

Crossrefs

Cf. A053126, A053127, A053128, A053129, A053130, A053131, A053132, A053133.

Sequence in context: A323311 A355428 A280359 * A166182 A064758 A030428

Adjacent sequences: A196787 A196788 A196789 * A196791 A196792 A196793

Keyword

nonn,easy

Author

Vincenzo Librandi, Oct 07 2011

Status

approved