A317537 The n-th positive integer that has exactly n representations of the form 1 + p1 * (1 + p2* ... * (1 + p_j)...), where [p1, ..., p_j] is a (possibly empty) list of distinct primes.

1, 29, 91, 426, 1002, 2283, 3979, 5886, 10861, 17116, 20749, 35106, 44031, 60919, 67453, 108655, 142429, 197107, 232625, 303317, 352093, 432517, 542935, 642520, 839938, 988791, 1050505, 1208559, 1612876, 1753324, 2129203, 2391496, 2735890, 3141916, 3593278

Offset

1,2

Links

Table of n, a(n) for n=1..35.

Formula

a(n) = A317390(n,n).

Example

a(1) = 1: 1.
a(2) = 29: 1 + 2 * (1 + 13) = 1 + 7 * (1 + 3) = 29.
a(3) = 91: 1 + 2 * (1 + 11 * (1 + 3)) = 1 + 3 * (1 + 29) = 1 + 5 * (1 + 17) = 91.

Crossrefs

A diagonal of A317390.

Cf. A317385.

Sequence in context: A325073 A152294 A201487 * A107940 A039416 A043239

Adjacent sequences: A317534 A317535 A317536 * A317538 A317539 A317540

Keyword

nonn

Author

Alois P. Heinz, Jul 30 2018

Status

approved