A355631 List of numbers k such that A355627(k) > 0.

10, 11, 28, 29, 31, 32, 34, 35, 37, 82, 83, 85, 86, 88, 89, 91, 92, 94, 95, 97, 98, 100, 101, 103, 104, 106, 110, 112, 113, 115, 116, 118, 119, 121, 244, 245, 247, 248, 250, 251, 253, 254, 256, 257, 259, 260, 262, 263, 265, 266, 268, 269, 271, 272, 274, 275, 277, 278, 280

Offset

1,1

Comments

A positive integer p is in this list iff it can be written as p = Product_{i = 1..k} (3 + 1/t_i) with a positive integer k and integers t_i >= 2.

The sequence does not contain multiples of 3, see comments in A355627.

Links

Markus Sigg, Table of n, a(n) for n = 1..13637

Example

10 = (3 + 1/4) * (3 + 1/13). 100 = (3 + 1/2) * (3 + 1/7) * (3 + 1/34) * (3 + 1/1133). 280 = (3 + 1/4) * (3 + 1/7) * (3 + 1/22) * (3 + 1/2614) * (3 + 1/6831253).

Prog

(PARI) See A355626.

Crossrefs

Cf. A001651, A355626, A355627, A355628, A355629, A355630.

Sequence in context: A300376 A136828 A136833 * A056067 A300678 A086458

Adjacent sequences: A355628 A355629 A355630 * A355632 A355633 A355634

Keyword

nonn

Author

Markus Sigg, Jul 15 2022

Status

approved