A139148 Smallest positive integer of the form (m!+n)/n.

2, 2, 3, 7, 25, 2, 721, 4, 81, 13, 3628801, 3, 479001601, 361, 9, 46, 20922789888001, 41, 6402373705728001, 7, 241, 1814401, 1124000727777607680001, 2, 145153, 239500801, 13441, 181, 304888344611713860501504000001, 5

Offset: 1

Author

Artur Jasinski, Apr 11 2008

Keywords

• nonn

Links

• Jinyuan Wang, Table of n, a(n) for n = 1..456

Crossrefs

Cf. A002034, A007672, A082672, A089085, A089130, A117141, A007749, A139056-A139066, A020458, A139068, A137390, A139070-A139075, A139148-A139157, A139159, A139160-A139162.

Programs

Mathematica

a = {}; Do[m = 1; While[ ! IntegerQ[m!/n], m++ ]; AppendTo[a, (m! + n)/n], {n, 1, 50}]; a

Formula

a(n) = (n + (A002034(n))!)/n.

a(n) = A007672(n) + 1. - Charles R Greathouse IV, Dec 09 2014