A182620 Triangle T(n,k) read by rows in which row n lists the divisors of n, written in base 2.

1, 1, 10, 1, 11, 1, 10, 100, 1, 101, 1, 10, 11, 110, 1, 111, 1, 10, 100, 1000, 1, 11, 1001, 1, 10, 101, 1010, 1, 1011, 1, 10, 11, 100, 110, 1100, 1, 1101, 1, 10, 111, 1110, 1, 11, 101, 1111, 1, 10, 100, 1000, 10000, 1, 10001, 1, 10, 11

Offset

1,3

Comments

Numbers of triangle A027750, written in base 2.

Links

Nathaniel Johnston, Table of n, a(n) for n = 1..7069

Formula

T(n,k) = A007088(A027750(n,k)).

Example

The divisors of 10 are 1, 2, 5, 10 then row 10 lists the binary numbers 1, 10, 101, 1010.
Triangle begins:
1,
1, 10,
1, 11,
1, 10, 100,
1, 101,
1, 10, 11, 110,
1, 111,
1, 10, 100, 1000,
1, 11, 1001,
1, 10, 101, 1010,
1, 1011,
1, 10, 11, 100, 110, 1100,

Maple

with(numtheory):for n from 1 to 10 do for d in divisors(n) do printf("%d, ", convert(d, binary)); od:printf("\n"); od: # Nathaniel Johnston, Apr 19 2011

Mathematica

Table[FromDigits[IntegerDigits[#, 2]]&/@Divisors[n], {n, 20}]//Flatten (* Harvey P. Dale, May 31 2018 *)

Crossrefs

Cf. A007088, A027750, A182621, A182622, A182623, A182624, A182630.

Sequence in context: A143970 A093645 A366360 * A366013 A317330 A238880

Adjacent sequences: A182617 A182618 A182619 * A182621 A182622 A182623

Keyword

nonn,easy,tabf,base

Author

Omar E. Pol, Nov 22 2010

Extensions

a(38)-a(55) from Nathaniel Johnston, Apr 19 2011

Status

approved