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 A284995 #12 Jul 27 2024 03:52:38 %S A284995 2,1,1,1,2,2,4,6,12,24,53,120,288,720,1872,5040,14035,40320,119293, %T A284995 362880,1133279,3628800,11899424,39916800,136843366,479001600, %U A284995 1710542069,6227020800,23092317923,87178291200,334838609874,1307674368000,5189998453041 %N A284995 a(n) = ceiling(Gamma(n/2)). %C A284995 The bisections are A000142 (factorials) and 1+A014510. %H A284995 Clark Kimberling, <a href="/A284995/b284995.txt">Table of n, a(n) for n = 1..500</a> %e A284995 Let s = sqrt(Pi); for n>=1, gamma(n/2) takes the values s, 1, s/2, 1, 3s/4, 2, 15s/8, 6, so that a(n) begins with 1,1,0,1,1,2,3,6. %t A284995 Table[Ceiling[Gamma[n/2]], {n, 1, 35}] %Y A284995 Cf. A000142, A014510, A284994. %K A284995 nonn,easy %O A284995 1,1 %A A284995 _Clark Kimberling_, Apr 08 2017