A134592 a(n) is the largest highly composite number (definition 1) not a multiple of n.

1, 4, 6, 48, 4, 720, 1260, 1680, 48, 50400, 6, 665280, 720, 48, 1081080, 43243200, 1680, 2205403200, 48, 720, 50400, 293318625600, 1260, 128501493120, 665280, 4655851200, 720, 26985313555200, 48, 782574093100800, 1516237305382800, 50400, 43243200, 720, 1680

Offset: 2

Author

J. Lowell, Jan 24 2008

Keywords

• nonn

Comments

In other words, largest element of A002182 not a multiple of n.

For all m there exists a k such that A002182(k+i) is divisible by m for all i >= 0, so the sequence is well-defined.

Crossrefs

Cf. A002182, A022404.

Extensions

Edited by N. J. A. Sloane Jan 29 2008 based on suggestions from M. F. Hasler, R. J. Mathar and Hugo van der Sanden.

More terms from Jinyuan Wang, Jun 19 2021