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 A244237 #28 Feb 26 2025 01:51:50 %S A244237 -1,3,-11,2,-61,2,-83,2,-61,2,-127,2,-6151,2,-5,2,-4637,2,42271,2, %T A244237 -175241,2,854237,2,-236369551,2,8553091,2,-23749462769,2, %U A244237 8615841247361,2,-7709321042237,2,2577687858355,2,-26315271553057315753,2 %N A244237 Numerators of the inverse binomial transform of (-1 followed by A164555(n+1)/A027642(n+1)). %C A244237 See A244213. (The binomial transform of A198631(n)/A006519(n+1) is A143074(n)/A006519(n+1)). %C A244237 Difference table of -1 followed by A164555(n+1)/A027642(n+1), see A190339: %C A244237 -1, 1/2, 1/6, 0, -1/30, 0, 1/42, 0,... %C A244237 3/2, -1/3, -1/6, -1/30, 1/30, 1/42, -1/42,... %C A244237 -11/6, 1/6, 2/15, 1/15, -1/105, -1/21,... %C A244237 2, -1/30, -1/15, -8/105, -4/105,... %C A244237 -61/30, -1/30, -1/105, 4/105,... %C A244237 2, 1/42, 1/21,... %C A244237 -83/42, 1/42,... %C A244237 2,... %C A244237 etc. %C A244237 The corresponding denominators to a(n) are A027642(n). See A085738. %C A244237 From the second Bernoulli numbers. %F A244237 (A164555(n+2) - a(n+2))/A027642(n+2) = (-1)^n*2. %Y A244237 Cf. A190339, A235774, A244213, A085738, A164555, A027642, A143074, A006519. %K A244237 sign,frac %O A244237 0,2 %A A244237 _Paul Curtz_, Jun 23 2014 %E A244237 a(12)-a(37) from _Jean-François Alcover_