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A091462 a(n) is the smallest j such that 1/3 + 1/6 + 1/9 + ... + 1/j exceeds n.

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%I A091462 #12 Sep 02 2023 02:27:02
%S A091462 3,33,681,13650,274140,5506263,110596236,2221384803,44617706493,
%T A091462 896170591203,18000067499079,361541020372644,7261745513941683,
%U A091462 145856057647068072,2929597231340774769,58842533360163495285,1181883876459465987195,23738772239546776075803,476805986328559173414774
%N A091462 a(n) is the smallest j such that 1/3 + 1/6 + 1/9 + ... + 1/j exceeds n.
%F A091462 a(n) = 3*A002387(3n).
%F A091462 The next term is approximately the previous term * e^3.
%t A091462 s = 0; k = 3; Do[ While[s = N[s + 1/k, 24]; s <= n, k += 3]; Print[k]; k += 3, {n, 1, 12}]
%Y A091462 Cf. A002387, A056053, A056054, A091463, A091464.
%K A091462 nonn
%O A091462 0,1
%A A091462 _Robert G. Wilson v_, Jan 12 2004
%E A091462 a(0) prepended and more terms added by _Max Alekseyev_, Sep 01 2023