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.
%I A161200 #19 Dec 29 2024 07:49:48
%S A161200 1,-3,3,1,3,3,7,9,99,143,429,663,4199,6783,22287,37145,1002915,
%T A161200 1710855,5892945,10235115,71645805,126233085,447553665,797813055,
%U A161200 11435320455,20583576819,74417546961,135054066707,983965343151,1798281489207,6593698793759,12123897782073
%N A161200 Numerators in expansion of (1-x)^(3/2).
%D A161200 Jerome Spanier and Keith B. Oldham, "Atlas of Functions", Hemisphere Publishing Corp., 1987, chapter 6, equation 6:14:5 at page 50.
%F A161200 a(n) = numerator((3/(3-8*n+4*n^2))*binomial(2*n,n)/4^n).
%t A161200 Numerator[CoefficientList[Series[(1-x)^(3/2),{x,0,30}],x]] (* _Harvey P. Dale_, Aug 26 2016 *)
%t A161200 a[n_]:= Numerator[3/(3-8*n+4*n^2)*Binomial[2*n,n]/(4^n)]; Array[a,28,0] (* _Stefano Spezia_, Dec 29 2024 *)
%Y A161200 Cf. A002596 ((1-x)^(1/2)) and A161202 ((1-x)^(5/2)).
%Y A161200 Cf. A161199 (numerators in expansion of (1-x)^(-5/2)).
%Y A161200 Cf. A161198 (triangle related to the series expansions of (1-x)^((-1-2*n)/2) for all values of n).
%Y A161200 Cf. A046161 (denominators of the series expansions of (1-x)^(3/2)).
%Y A161200 Cf. A000302, A000984.
%K A161200 easy,sign,frac
%O A161200 0,2
%A A161200 _Johannes W. Meijer_, Jun 08 2009