A112780 Number of highly composite numbers (definition 1, A002182) with n decimal digits.

4, 5, 6, 5, 9, 9, 9, 9, 10, 10, 10, 9, 11, 11, 8, 10, 11, 10, 11, 10, 9, 10, 13, 10, 12, 10, 13, 13, 13, 12, 13, 11, 14, 13, 13, 12, 13, 15, 13, 14, 13, 14, 13, 13, 15, 12, 14, 13, 17, 14, 16, 16, 15, 17, 15, 19, 15, 18, 15, 16, 17, 16, 17, 16, 15, 19, 15, 19, 14, 18, 14, 19, 17

Offset: 1

Author

Ray Chandler, Nov 11 2005

Keywords

• nonn
• look
• base

Examples

			a(1) = 4 since there are four highly composite numbers with one decimal digit {1,2,4,6}.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000
• Eric Weisstein's World of Mathematics, Highly Composite Number
• A. Flammenkamp, First 1200 highly composite numbers

Crossrefs

Cf. A002182, A002183, A108602, A112778, A112779, A112781.

Formula

First differences of A112781. - Amiram Eldar, Jul 02 2019