A376061 a(n) is the denominator of the sum S(n) defined in A376060.
2, 6, 78, 30498, 13021822554, 7121850230383271305026, 6695139092929353602428277531338786356808914258
Offset: 0
Examples
The first few values of S(n) are 1/2, 5/6, 77/78, 30497/30498, 13021822553/13021822554, ...
Programs
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Mathematica
RecurrenceTable[{a[n+1] == CatalanNumber[n+1]*a[n]^2 + a[n], a[0] == 2}, a, {n, 0, 6}] (* Amiram Eldar, Sep 15 2024 *)
Formula
a(n+1) = Catalan(n+1)*a(n)^2 + a(n), with a(0) = 2.