A349608 a(n) is the number of divisors of the n-th highly abundant number (A002093).

1, 2, 2, 3, 4, 4, 4, 6, 5, 6, 6, 8, 8, 9, 8, 10, 12, 12, 12, 12, 12, 12, 16, 15, 16, 18, 16, 16, 20, 18, 18, 20, 24, 24, 24, 24, 24, 24, 24, 24, 30, 32, 28, 30, 32, 30, 36, 36, 32, 30, 40, 36, 32, 36, 36, 40, 36, 36, 48, 42, 40, 40, 40, 48, 45, 48, 48, 48, 48

Offset: 1

Author

Amiram Eldar, Nov 23 2021

Keywords

• nonn

Examples

			a(1) = A000005(A002093(1)) = A000005(1) = 1.
a(10) = A000005(A002093(10)) = A000005(18) = 6.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000005, A002093, A034885, A349607.

Programs

Mathematica

seq = {}; sm = 0; Do[s = DivisorSigma[1, n]; If[s > sm, sm = s; AppendTo[seq, DivisorSigma[0, n]]], {n, 1, 10^4}]; seq

Formula

a(n) = A000005(A002093(n)).