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A323506 a(n) = A323505(n) / A246660(n). 3
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 (list; graph; refs; listen; history; text; internal format)
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: A077624 A077632 A253722 * A302747 A193949 A246679

Adjacent sequences:  A323503 A323504 A323505 * A323507 A323508 A323509

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jan 16 2019

STATUS

approved

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Last modified April 20 03:02 EDT 2021. Contains 343121 sequences. (Running on oeis4.)