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

3, 33, 681, 13650, 274140, 5506263, 110596236, 2221384803, 44617706493, 896170591203, 18000067499079, 361541020372644, 7261745513941683, 145856057647068072, 2929597231340774769, 58842533360163495285, 1181883876459465987195, 23738772239546776075803, 476805986328559173414774

Offset

0,1

Links

Table of n, a(n) for n=0..18.

Formula

a(n) = 3*A002387(3n).

The next term is approximately the previous term * e^3.

Mathematica

s = 0; k = 3; Do[ While[s = N[s + 1/k, 24]; s <= n, k += 3]; Print[k]; k += 3, {n, 1, 12}]

Crossrefs

Cf. A002387, A056053, A056054, A091463, A091464.

Sequence in context: A144756 A336636 A364242 * A340971 A326328 A233319

Adjacent sequences: A091459 A091460 A091461 * A091463 A091464 A091465

Keyword

nonn

Author

Robert G. Wilson v, Jan 12 2004

Extensions

a(0) prepended and more terms added by Max Alekseyev, Sep 01 2023

Status

approved