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 A101926 #39 Dec 06 2024 03:28:38 %S A101926 2,4,16,32,256,512,2048,4096,65536,131072,524288,1048576,8388608, %T A101926 16777216,67108864,134217728,4294967296,8589934592,34359738368, %U A101926 68719476736,549755813888,1099511627776,4398046511104,8796093022208 %N A101926 a(n) = 2^A101925(n). %C A101926 a(n) is the numerator of 2^(2*n+1)*(n!)^2/(2*n+1)/(2*n)!. The corresponding denominator is A001803. - _Daniel Suteu_, Feb 03 2017 %C A101926 a(n) is the numerator of Integral_{x=-oo..oo} sech(x)^(2*n+2) dx. The corresponding denominator is A001803(n). - _Mohammed Yaseen_, Jul 25 2023 %C A101926 a(n) is the denominator of (1/Pi) * Integral_{x=0..Pi/2} sin(x)^(2*n) dx. The corresponding numerator is A001790(n). - _Mohammed Yaseen_, Sep 19 2023 %C A101926 a(n) = numerator(Pi*binomial(n, -1/2)). - _Peter Luschny_, Dec 05 2024 %H A101926 <a href="/index/Di#divseq">Index to divisibility sequences</a> %p A101926 denom((binomial(2n,n)*4^-n)/2); # _Stephen Crowley_, Mar 05 2007 %t A101926 Table[Numerator[Beta[1, n + 1, 1/2]], {n, 0, 22}] (* _Gerry Martens_, Nov 13 2016 *) %Y A101926 Bisection of A036069 and of A086117. %Y A101926 Cf. A001803, A001790, A101925. %K A101926 nonn %O A101926 0,1 %A A101926 _Ralf Stephan_, Dec 28 2004 %E A101926 More terms from _Joshua Zucker_, May 15 2006