cp's OEIS Frontend

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.

A376061 a(n) is the denominator of the sum S(n) defined in A376060.

This page as a plain text file.
%I A376061 #11 Sep 15 2024 17:45:12
%S A376061 2,6,78,30498,13021822554,7121850230383271305026,
%T A376061 6695139092929353602428277531338786356808914258
%N A376061 a(n) is the denominator of the sum S(n) defined in A376060.
%F A376061 a(n+1) = Catalan(n+1)*a(n)^2 + a(n), with a(0) = 2.
%e A376061 The first few values of S(n) are 1/2, 5/6, 77/78, 30497/30498, 13021822553/13021822554, ...
%t A376061 RecurrenceTable[{a[n+1] == CatalanNumber[n+1]*a[n]^2 + a[n], a[0] == 2}, a, {n, 0, 6}] (* _Amiram Eldar_, Sep 15 2024 *)
%Y A376061 Cf. A000108, A374663, A375516, A375531, A375532, A375781, A375522, A376048-A376060.
%K A376061 nonn,base,frac
%O A376061 0,1
%A A376061 _N. J. A. Sloane_, Sep 14 2024