A256136 a(n) = 6^A000120(n).

1, 6, 6, 36, 6, 36, 36, 216, 6, 36, 36, 216, 36, 216, 216, 1296, 6, 36, 36, 216, 36, 216, 216, 1296, 36, 216, 216, 1296, 216, 1296, 1296, 7776, 6, 36, 36, 216, 36, 216, 216, 1296, 36, 216, 216, 1296, 216, 1296, 1296, 7776, 36, 216, 216, 1296, 216, 1296, 1296, 7776, 216, 1296, 1296, 7776, 1296, 7776

Offset

0,2

Comments

Also, a row of the square array A256140.

It appears that when A151784 is regarded as a triangle in which the row lengths are the powers of 2, this is what the rows converge to.

Links

Table of n, a(n) for n=0..61.

Formula

a(n) = A000400(A000120(n)). - Michel Marcus, Mar 21 2015

G.f.: Product_{k>=0} (1 + 6*x^(2^k)). - Ilya Gutkovskiy, Feb 28 2017

Example

Also, written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins:
1;
6;
6, 36;
6, 36, 36, 216;
6, 36, 36, 216, 36, 216, 216, 1296;
...

Mathematica

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

Prog

(PARI) a(n) = 6^hammingweight(n); \\ Michel Marcus, Mar 21 2015

Crossrefs

Cf. A000120, A001316, A048883, A102376, A116522, A151784, A256135, A256140, A256141.

Sequence in context: A015699 A244416 A165827 * A111437 A056464 A056454

Adjacent sequences: A256133 A256134 A256135 * A256137 A256138 A256139

Keyword

nonn

Author

Omar E. Pol, Mar 19 2015

Extensions

More terms from Michael De Vlieger, Mar 20 2015

Status

approved