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

Author

Omar E. Pol, Nov 22 2010

Keywords

• nonn
• easy
• tabf
• base

Comments

Numbers of triangle A027750, written in base 2.

Examples

			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,
		

Links

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

Crossrefs

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

Programs

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 *)

Formula

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

Extensions

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