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 A172032 #16 Feb 03 2013 10:40:15
%S A172032 0,1,3,19,19,379,379,3539,3539,42461,42461,1868459,1868459,32384089,
%T A172032 32384089,388644103,388644103,26424178387,26424178387,669590253599,
%U A172032 669590253599,1605990140413,1605990140413,148027376624695,148027376624695,980410698447157
%N A172032 Numerator of the rational sequence c(n) defined by c(n+1) - 2*c(n) = Bernoulli number B_n (A027641/A027642).
%C A172032 c(n) starts with: 0, 1, 3/2, 19/6, 19/3,3 79/30, 379/15, 3539/70, 3539/35, 42461/210, 42461/105, ...
%C A172032 The corresponding denominator is A172031 (also denominator of rational sequence defined in A172030).
%C A172032 It appears that A172030/A172031 - A172032/A172031 = 0, 0, 1, 2, 4, 8, 16, ... that is A131577 prepended with 0.
%o A172032 (PARI) aseq(m) = {cvec = vector(m); cvec[1] = 0; for (i=2, m, cvec[i] = bernfrac(i-2) + 2*cvec[i-1];);} \\_Michel Marcus_, Feb 03 2013
%K A172032 nonn,frac
%O A172032 0,3
%A A172032 _Paul Curtz_, Jan 23 2010
%E A172032 Edited by _Michel Marcus_, Feb 03 2013