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%I #12 Oct 21 2022 09:44:45
%S 1,66,1001,8008,43758,184756,646646,1961256,5311735,13123110,30045015,
%T 64512240,131128140,254186856,472733756,847660528,1471442973,
%U 2481256778,4076350421,6540715896,10272278170,15820024220,23930713170,35607051480,52179482355,75394027566
%N Binomial coefficients C(2*n+10,10).
%H Vincenzo Librandi, <a href="/A196789/b196789.txt">Table of n, a(n) for n = 0..200</a>
%F G.f.: (11*x^5+165*x^4+462*x^3+330*x^2+55*x+1) / (1-x)^11.
%F From _Amiram Eldar_, Oct 21 2022: (Start)
%F Sum_{n>=0} 1/a(n) = 2560*log(2) - 148969/84.
%F Sum_{n>=0} (-1)^n/a(n) = 40*Pi - 80*log(2) - 5815/84. (End)
%t a[n_] := Binomial[2*n + 10, 10]; Array[a, 20, 0] (* _Amiram Eldar_, Oct 21 2022 *)
%o (Magma) [Binomial(2*n+10,10): n in [0..30]]
%Y Cf. A002299, A053134, A053135, A053136, A053137, A053138.
%K nonn
%O 0,2
%A _Vincenzo Librandi_, Oct 07 2011
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