A104369 Number of divisors of A104365(n) = A104350(n) + 1.

2, 2, 2, 2, 2, 2, 4, 2, 2, 4, 2, 2, 4, 4, 4, 16, 16, 4, 2, 16, 4, 4, 8, 4, 2, 16, 8, 8, 2, 8, 16, 32, 16, 32, 16, 8, 8, 16, 128, 4, 32, 16, 16, 4, 16, 8, 16, 4, 8, 128, 16, 4, 16, 4, 8, 4, 16, 8, 16, 32, 8, 16, 16, 4, 2, 4, 16, 64, 16, 8, 8, 16, 16, 64, 64, 64, 32, 8, 64, 16, 32, 8, 8, 32, 8, 16, 8, 16, 128, 64, 16, 8, 16, 4, 8

Offset

1,1

Links

Max Alekseyev, Table of n, a(n) for n = 1..158 (terms 142..151 from Tyler Busby)

Reinhard Zumkeller, Products of largest prime factors of numbers <= n

Formula

a(n) = A000005(A104365(n)).

Mathematica

a[n_] := DivisorSigma[0, 1 + Product[FactorInteger[k][[-1, 1]], {k, 1, n}]]; Array[a, 76] (* Amiram Eldar, Feb 12 2020 *)

Crossrefs

Cf. A000005, A064144, A104350, A104361, A104365, A104366, A104367, A104368, A104370, A104371, A104372.

Sequence in context: A003648 A003642 A100007 * A051702 A073130 A238267

Adjacent sequences: A104366 A104367 A104368 * A104370 A104371 A104372

Keyword

nonn

Author

Reinhard Zumkeller, Mar 06 2005

Extensions

a(51)-a(76) from Amiram Eldar, Feb 12 2020

Terms a(77) onward from Max Alekseyev, Oct 03 2022

Status

approved