A253589 Binary weight of A252867(n).

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, 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, 4, 2, 4, 3, 3, 4, 1, 5, 2, 4, 2, 4, 3, 3, 4, 3, 3, 4

Offset

0,4

Comments

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

Links

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Example

.   n | A252867(n) |   binary |   a(n)
. ----+------------+----------+--------
.   0 |          0 |        0 |      0
.   1 |          1 |        1 |      1
.   2 |          2 |       10 |      1
.   3 |          5 |      101 |      2
.   4 |         10 |     1010 |      2
.   5 |          4 |      100 |      1
.   6 |          3 |       11 |      2
.   7 |         12 |     1100 |      2
.   8 |         17 |    10001 |      2
.   9 |          6 |      110 |      2
.  10 |          9 |     1001 |      2
.  11 |         18 |    10010 |      2
.  12 |          8 |     1000 |      1
.  13 |          7 |      111 |      3
.  14 |         24 |    11000 |      2
.  15 |         33 |   100001 |      2
.  16 |         14 |     1110 |      3
.  17 |         32 |   100000 |      1
.  18 |         11 |     1011 |      3
.  19 |         36 |   100100 |      2
.  20 |         19 |    10011 |      3
.  21 |         40 |   101000 |      2
.  22 |         16 |    10000 |      1
.  23 |         13 |     1101 |      3
.  24 |         48 |   110000 |      2
.  25 |         15 |     1111 |      4
.  26 |         80 |  1010000 |      2
.  27 |         34 |   100010 |      2
.  28 |         20 |    10100 |      2
.  29 |         35 |   100011 |      3
.  30 |         28 |    11100 |      3 .

Prog

(Haskell)
a253589 = a000120 . a252867

Crossrefs

Cf. A252867, A000120, A007088.

Sequence in context: A259527 A275992 A271824 * A332992 A337788 A346510

Adjacent sequences: A253586 A253587 A253588 * A253590 A253591 A253592

Keyword

nonn

Author

Reinhard Zumkeller, Jan 12 2015

Status

approved