A059127 A hierarchical sequence (W2{3} - see A059126).

1, 2, 1, 3, 1, 2, 1, 4, 5, 4, 6, 4, 5, 4, 1, 2, 1, 3, 1, 2, 1, 7, 8, 7, 9, 7, 8, 7, 1, 2, 1, 3, 1, 2, 1, 4, 5, 4, 6, 4, 5, 4, 1, 2, 1, 3, 1, 2, 1, 10, 11, 10, 12, 10, 11, 10, 1, 2, 1, 3, 1, 2, 1, 4, 5, 4, 6, 4, 5, 4, 1, 2, 1, 3, 1, 2, 1, 7, 8, 7, 9, 7, 8, 7, 1, 2, 1, 3, 1, 2, 1, 4, 5, 4, 6, 4, 5, 4, 1, 2, 1

Offset: 0

Author

Jonas Wallgren, Jan 19 2001

Keywords

• easy
• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..14335
• J. Wallgren, Hierarchical sequences

Crossrefs

Cf. A001511, A059126, A059128, A059129, A059130, A059134, A059135.

Programs

Mathematica

Block[{m = 3, i = 7, a}, a = IntegerExponent[2 Range@ i, 2]; Array[IntegerExponent[2 #, 2] /. k_ :> (a + m k - m) &, 15]] // Flatten (* Michael De Vlieger, Nov 02 2018 *)

Formula

a(7n+3) = 3*A001511(1+n), a(7n) = a(7n+2) = a(7n+4) = a(7n+6) = a(7n+3)-2, a(7n+1) = a(7n+5) = a(7n+3)-1. - Antti Karttunen, May 28 2017