A181802 Triangle read by rows: T(n,k) is k-th smallest divisor of n that is highly composite (A002182).

1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 6, 1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 4, 6, 12, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 6, 1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 4, 6, 12, 24, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 6, 1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 4, 6, 12, 36, 1, 1, 2, 1, 1, 2, 4, 1, 1, 2, 6, 1, 1, 2, 4, 1, 1, 2, 1, 1, 2, 4, 6, 12, 24, 48

Offset: 1

Author

Matthew Vandermast, Nov 27 2010

Keywords

• nonn
• tabf

Comments

Row n contains A181801(n) numbers. T(n,k) * A180803(n, A181801(n)-k+1) = n.

Row n is identical to row (n+12) if n is not a multiple of 12.

Examples

			First rows read: 1; 1,2; 1; 1,2,4; 1; 1,2,6; 1; 1,2,4; 1; 1,2; 1; 1,2,4,6,12;...
8 has four divisors, of which three (1, 2 and 4) are members of A002182. Row 8 therefore reads 1, 2, 4.
		

Links

• Eric Weisstein's World of Mathematics, Highly composite number

Crossrefs

See also A181804, A181805, A181806, A181807.

Formula

T(n,k) = n/(A180803(n, A181801(n)-k+1)).