A253589 - OEIS

%I #5 Jan 13 2015 07:32:34

%S 0,1,1,2,2,1,2,2,2,2,2,2,1,3,2,2,3,1,3,2,3,2,1,3,2,4,2,2,2,3,3,2,3,3,

%T 2,3,3,2,3,3,2,4,1,3,3,3,3,3,3,3,3,4,2,4,3,2,4,3,2,4,3,3,3,3,3,3,3,3,

%U 4,2,4,3,3,4,1,5,2,4,2,4,3,3,4,3,3,4

%N Binary weight of A252867(n).

%C a(n) = A000120(A252867(n)).

%H Reinhard Zumkeller, <a href="/A253589/b253589.txt">Table of n, a(n) for n = 0..10000</a>

%e .   n | A252867(n) |   binary |   a(n)

%e . ----+------------+----------+--------

%e .   0 |          0 |        0 |      0

%e .   1 |          1 |        1 |      1

%e .   2 |          2 |       10 |      1

%e .   3 |          5 |      101 |      2

%e .   4 |         10 |     1010 |      2

%e .   5 |          4 |      100 |      1

%e .   6 |          3 |       11 |      2

%e .   7 |         12 |     1100 |      2

%e .   8 |         17 |    10001 |      2

%e .   9 |          6 |      110 |      2

%e .  10 |          9 |     1001 |      2

%e .  11 |         18 |    10010 |      2

%e .  12 |          8 |     1000 |      1

%e .  13 |          7 |      111 |      3

%e .  14 |         24 |    11000 |      2

%e .  15 |         33 |   100001 |      2

%e .  16 |         14 |     1110 |      3

%e .  17 |         32 |   100000 |      1

%e .  18 |         11 |     1011 |      3

%e .  19 |         36 |   100100 |      2

%e .  20 |         19 |    10011 |      3

%e .  21 |         40 |   101000 |      2

%e .  22 |         16 |    10000 |      1

%e .  23 |         13 |     1101 |      3

%e .  24 |         48 |   110000 |      2

%e .  25 |         15 |     1111 |      4

%e .  26 |         80 |  1010000 |      2

%e .  27 |         34 |   100010 |      2

%e .  28 |         20 |    10100 |      2

%e .  29 |         35 |   100011 |      3

%e .  30 |         28 |    11100 |      3 .

%o (Haskell)

%o a253589 = a000120 . a252867

%Y Cf. A252867, A000120, A007088.

%K nonn

%O 0,4

%A _Reinhard Zumkeller_, Jan 12 2015