OFFSET
1,3
COMMENTS
REFERENCES
S. Ramanujan, Highly composite numbers, Proc. Lond. Math. Soc. 14 (1915), 347-409; reprinted in Collected Papers, Ed. G. H. Hardy et al., Cambridge 1927; Chelsea, NY, 1962.
LINKS
Peter J. Marko, Table of i, a(i) for i = 1..10022 (corresponding to first n = 584 rows of irregular triangle; using data from Flammenkamp)
A. Flammenkamp, Highly composite numbers
A. Flammenkamp, List of the first 1200 highly composite numbers
A. Flammenkamp, List of the first 779,674 highly composite numbers
Peter J. Marko, Table of n, T(n, k) by rows for n = 1..10000 (using data from Flammenkamp)
S. Ramanujan, Highly Composite Numbers
FORMULA
EXAMPLE
First rows read:
0;
1;
2;
1, 1;
2, 1;
3, 1;
2, 2;
4, 1;
2, 1, 1;
3, 1, 1;
2, 2, 1;
4, 1, 1;
...
1st row: A002182(1) = 1 so T(1, 1) = 0;
2nd row: A002182(2) = 2^1 so T(2, 1) = 1;
3rd row: A002182(3) = 4 = 2^2 so T(3, 1) = 2;
4th row: A002182(4) = 6 = 2^1 * 3^1 so T(4, 1) = 1 and T(4, 2) = 1;
5th row: A002182(5) = 12 = 2^2 * 3^1 so T(5, 1) = 2 and T(5, 2) = 1;
6th row: A002182(6) = 24 = 2^3 * 3^1 so T(6, 1) = 3 and T(6, 2) = 1.
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Matthew Vandermast, Jun 08 2012
EXTENSIONS
Edited by Peter J. Marko, Aug 30 2018
STATUS
approved