A308530 The number of largely composite numbers (A067128) having the same number of divisors as the n-th highly composite number A002182(n).

1, 2, 1, 3, 3, 2, 1, 1, 6, 2, 1, 2, 9, 1, 2, 2, 2, 8, 1, 2, 3, 2, 1, 1, 9, 1, 1, 3, 2, 5, 2, 2, 2, 8, 1, 2, 1, 6, 3, 6, 2, 2, 1, 6, 1, 1, 1, 5, 1, 3, 8, 1, 2, 5, 3, 10, 1, 2, 2, 4, 2, 3, 8, 2, 1, 6, 4, 11, 1, 1, 2, 2, 4, 2, 2, 6, 2, 4, 4, 8, 1, 5, 2, 1, 3, 4

Offset

1,2

Links

Michael De Vlieger, Table of n, a(n) for n = 1..783

Example

a(4) = 3 since there are 3 largely composite numbers with the same number of divisors as the 4th highly composite number 6: 6, 8, and 10.

Mathematica

s = {}; dm = 1; c = 0; Do[d = DivisorSigma[0, n]; If[d == dm, c++]; If[d > dm, dm = d; AppendTo[s, c]; c = 1], {n, 1, 10^8}]; s

Crossrefs

Cf. A000005, A002182, A067128.

Sequence in context: A335191 A342718 A355686 * A302555 A355255 A336692

Adjacent sequences: A308527 A308528 A308529 * A308531 A308532 A308533

Keyword

nonn

Author

Amiram Eldar, Jun 06 2019

Status

approved