A256135 a(n) = 5^A000120(n).

1, 5, 5, 25, 5, 25, 25, 125, 5, 25, 25, 125, 25, 125, 125, 625, 5, 25, 25, 125, 25, 125, 125, 625, 25, 125, 125, 625, 125, 625, 625, 3125, 5, 25, 25, 125, 25, 125, 125, 625, 25, 125, 125, 625, 125, 625, 625, 3125, 25, 125, 125, 625, 125, 625, 625, 3125, 125, 625, 625, 3125, 625, 3125, 3125, 15625

Offset: 0

Author

Omar E. Pol, Mar 19 2015

Keywords

• nonn

Comments

Also, a row of the square array A256140.

It appears that when A151780 is regarded as a triangle in which the row lengths are the powers of 2, this is what the rows converge to.

Examples

			Also, written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:
1;
5;
5, 25;
5, 25, 25, 125;
5, 25, 25, 125, 25, 125, 125, 625;
...
		

Crossrefs

Cf. A000120, A001316, A048883, A102376, A130667, A151780, A256140, A256141.

Programs

Mathematica

5^# & /@ Nest[Join[#, # + 1] &, {0}, 6] (* Michael De Vlieger, Mar 20 2015, after IWABUCHI Yu(u)ki at a000120 *)

PARI

a(n) = 5^hammingweight(n); \\ Michel Marcus, Mar 21 2015

Formula

a(n) = A000351(A000120(n)). - Michel Marcus, Mar 21 2015

G.f.: Product_{k>=0} (1 + 5*x^(2^k)). - Ilya Gutkovskiy, Feb 28 2017

Extensions

More terms from Michael De Vlieger, Mar 20 2015