A182628 Triangle T(n,k) read by rows in which row n lists the number of digits of the binary expansion of the divisors of n.

1, 1, 2, 1, 2, 1, 2, 3, 1, 3, 1, 2, 2, 3, 1, 3, 1, 2, 3, 4, 1, 2, 4, 1, 2, 3, 4, 1, 4, 1, 2, 2, 3, 3, 4, 1, 4, 1, 2, 3, 4, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 5, 1, 2, 2, 3, 4, 5, 1, 5, 1, 2, 3, 3, 4, 5, 1, 2, 3, 5, 1, 2, 4, 5, 1, 5, 1, 2, 2

Offset: 1

Author

Omar E. Pol, Nov 23 2010

Keywords

• nonn
• base
• easy
• tabf

Comments

Row n lists the number of digits of the numbers in the n-th row of triangle A182620.

Examples

			Triangle begins:
1,
1, 2,
1, 2,
1, 2, 3,
1, 3,
1, 2, 2, 3,
1, 3,
1, 2, 3, 4,
1, 2, 4,
1, 2, 3, 4,
1, 4,
1, 2, 2, 3, 3, 4,
		

Links

• Nathaniel Johnston, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A182620, A182621, A182622.

Row sums give A182627.

Programs

Maple

with(numtheory):for n from 1 to 12 do for d in divisors(n) do printf("%d, ",length(convert(convert(d, binary),string))); od:printf("\n"); od: # Nathaniel Johnston, Apr 19 2011

Extensions

a(38)-a(79) from Nathaniel Johnston, Apr 19 2011