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

1,3

Comments

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

Links

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

Example

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,

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

Crossrefs

Cf. A182620, A182621, A182622.

Row sums give A182627.

Sequence in context: A194066 A308916 A353171 * A361477 A331366 A274225

Adjacent sequences: A182625 A182626 A182627 * A182629 A182630 A182631

Keyword

nonn,base,easy,tabf

Author

Omar E. Pol, Nov 23 2010

Extensions

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

Status

approved