A376060 - OEIS

A376060

Lexicographically earliest sequence of positive integers a(0), a(1), a(2), a(3), ... such that for any n > 0, S(n) = Sum_{k = 0..n-1} Catalan(k)/a(k) < 1.

%I #9 Sep 15 2024 17:44:59

%S 2,3,13,391,426973,546916547269,940084230410591812263433,

%T 2872214670866692695441731060944339347071024216683

%N Lexicographically earliest sequence of positive integers a(0), a(1), a(2), a(3), ... such that for any n > 0, S(n) = Sum_{k = 0..n-1} Catalan(k)/a(k) < 1.

%F a(n+1) = Catalan(n+1)*A376061(n) + 1.

%Y Cf. A000108, A374663, A375516, A375531, A375532, A375781, A375522, A376048-A376059, A376061.

%K nonn,base

%O 0,1

%A _N. J. A. Sloane_, Sep 14 2024