A376048 Lexicographically earliest sequence of positive integers a(1), a(2), a(3), ... such that for any n > 0, S(n) = Sum_{k = 1..n} b(k)/a(k) < 1, where {b(k)} = 3,1,4,1,5,... are the digits of Pi (cf. A000796).

4, 5, 81, 1621, 13130101, 310319170452181, 21399552788917656689963823241, 1373822578697020375503379392874191898311737749943783762521

Offset: 1

Author

N. J. A. Sloane, Sep 13 2024

Keywords

• nonn
• base

References

• Rémy Sigrist and N. J. A. Sloane, Dampening Down a Divergent Series, Manuscript in preparation, September 2024.

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..12

Crossrefs

Cf. A000796, A375531, A375532.

See also A374663, A375516, A375781, A375522, A376048-A376062.

Programs

Maple

For Maple code for all these sequences, see A376056.

Formula

a(n+1) = b(n+1)*A376049(n) + 1.