A323506 a(n) = A323505(n) / A246660(n).

1, 2, 4, 3, 8, 12, 6, 4, 16, 24, 24, 24, 12, 18, 8, 5, 32, 48, 48, 48, 48, 72, 48, 40, 24, 36, 36, 36, 16, 24, 10, 6, 64, 96, 96, 96, 96, 144, 96, 80, 96, 144, 144, 144, 96, 144, 80, 60, 48, 72, 72, 72, 72, 108, 72, 60, 32, 48, 48, 48, 20, 30, 12, 7, 128, 192, 192, 192, 192, 288, 192, 160, 192, 288, 288, 288, 192, 288, 160, 120

Offset

0,2

Links

Antti Karttunen, Table of n, a(n) for n = 0..16383

Formula

a(n) = A323505(n) / A246660(n).

For n > 1, a(2n) = 2*a(n).

Example

This sequence can be represented as a binary tree, as both A323505 and A246660 have similar tree structures:
                                       1
                                       |
                    ...................2....................
                   4                                        3
         8......../ \........12                  6........./ \.......4
        / \                 / \                 / \                 / \
       /   \               /   \               /   \               /   \
      /     \             /     \             /     \             /     \
    16       24         24       24         12       18          8       5
  32  48   48  48     48  72   48  40     24  36   36  36      16 24   10  6
etc.

Prog

(PARI)
A001511(n) = (1+valuation(n, 2));
A036987(n) = !bitand(n, 1+n);
A323505(n) = if(!n, 1, if(!(n%2), 2*A323505(n/2), (A001511(n+1)+1-A036987(n))*A323505((n-1)/2)));
A246660(n) = { my(i=0, p=1); while(n>0, if(n%2, i++; p = p * i, i = 0); n = n\2); p; };
A323506(n) = (A323505(n)/A246660(n));

Crossrefs

Cf. A246660, A323505.

Sequence in context: A347976 A253722 A361640 * A357988 A302747 A193949

Adjacent sequences: A323503 A323504 A323505 * A323507 A323508 A323509

Keyword

nonn

Author

Antti Karttunen, Jan 16 2019

Status

approved