cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A114252 a(n) = C(4+2*n,4+n)*C(9+2*n,0+n).

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%I A114252 #11 Sep 06 2025 06:34:18
%S A114252 1,66,2184,54600,1178100,23279256,434546112,7801876368,136246002750,
%T A114252 2331320491500,39283977292560,654191853260400,10794165578796600,
%U A114252 176805993477330000,2879098129810080000,46660583690455363200,753276797952788769660,12121801610494996922040
%N A114252 a(n) = C(4+2*n,4+n)*C(9+2*n,0+n).
%F A114252 From _Amiram Eldar_, Sep 06 2025: (Start)
%F A114252 a(n) = A002694(n+2) * A030054(n+4).
%F A114252 a(n) ~ 2^(4*n+13) / (Pi*n). (End)
%t A114252 Table[Binomial[4+2n,4+n]Binomial[9+2n,n],{n,0,20}] (* _Harvey P. Dale_, Aug 30 2015 *)
%Y A114252 Cf. A002694, A030054, A062190.
%K A114252 easy,nonn,changed
%O A114252 0,2
%A A114252 _Zerinvary Lajos_, Feb 04 2006
%E A114252 More terms from _Harvey P. Dale_, Aug 30 2015