A112781 Number of highly composite numbers (definition 1, A002182) < 10^n.

4, 9, 15, 20, 29, 38, 47, 56, 66, 76, 86, 95, 106, 117, 125, 135, 146, 156, 167, 177, 186, 196, 209, 219, 231, 241, 254, 267, 280, 292, 305, 316, 330, 343, 356, 368, 381, 396, 409, 423, 436, 450, 463, 476, 491, 503, 517, 530, 547, 561, 577, 593, 608, 625, 640

Offset

1,1

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

Formula

Partial sums of A112780. - Lekraj Beedassy, Sep 02 2006

Example

a(1) = 4 since there are four highly composite numbers < 10^1 {1,2,4,6}.

Crossrefs

Cf. A002182, A002183, A108602, A112778, A112779, A112780.

Sequence in context: A313272 A301680 A281590 * A166131 A313273 A313274

Adjacent sequences: A112778 A112779 A112780 * A112782 A112783 A112784

Keyword

nonn

Author

Ray Chandler, Nov 11 2005

Status

approved