A235669 Sum of parts of the form 10...0 and 20...0 with nonnegative number of zeros in ternary representation of n as the corresponding numbers 3^n and 2*3^n.

0, 1, 2, 3, 2, 3, 6, 3, 4, 9, 4, 5, 4, 3, 4, 7, 4, 5, 18, 7, 8, 5, 4, 5, 8, 5, 6, 27, 10, 11, 6, 5, 6, 9, 6, 7, 10, 5, 6, 5, 4, 5, 8, 5, 6, 19, 8, 9, 6, 5, 6, 9, 6, 7, 54, 19, 20, 9, 8, 9, 12, 9, 10, 11, 6, 7, 6, 5, 6, 9, 6, 7, 20, 9, 10, 7, 6, 7, 10, 7, 8, 81, 28, 29, 12

Offset

0,3

Comments

The number of appearances of k is the number of compositions of k into numbers of the form 3^n and 2*3^n, A235684(k).

Links

Alois P. Heinz, Table of n, a(n) for n = 0..10000

Mathematica

bitPatt[n_, b_]:=Split[IntegerDigits[n, b ], #2==0&]; Map[Plus@@Map[FromDigits[#, 3]&, bitPatt[#, 3]]&, Range[0, 50]] (* Peter J. C. Moses, Jan 13 2014 *)

Crossrefs

Cf. A124771, A162439, A233249, A233312, A233416, A233420, A233564, A233569, A233655.

Sequence in context: A330903 A278910 A337982 * A118088 A298211 A088212

Adjacent sequences: A235666 A235667 A235668 * A235670 A235671 A235672

Keyword

nonn,base,look

Author

Vladimir Shevelev, Jan 13 2014

Status

approved