cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A323506 #12 Jan 17 2019 17:20:01
%S A323506 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,
%T A323506 36,36,16,24,10,6,64,96,96,96,96,144,96,80,96,144,144,144,96,144,80,
%U A323506 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
%N A323506 a(n) = A323505(n) / A246660(n).
%H A323506 Antti Karttunen, <a href="/A323506/b323506.txt">Table of n, a(n) for n = 0..16383</a>
%F A323506 a(n) = A323505(n) / A246660(n).
%F A323506 For n > 1, a(2n) = 2*a(n).
%e A323506 This sequence can be represented as a binary tree, as both A323505 and A246660 have similar tree structures:
%e A323506                                        1
%e A323506                                        |
%e A323506                     ...................2....................
%e A323506                    4                                        3
%e A323506          8......../ \........12                  6........./ \.......4
%e A323506         / \                 / \                 / \                 / \
%e A323506        /   \               /   \               /   \               /   \
%e A323506       /     \             /     \             /     \             /     \
%e A323506     16       24         24       24         12       18          8       5
%e A323506   32  48   48  48     48  72   48  40     24  36   36  36      16 24   10  6
%e A323506 etc.
%o A323506 (PARI)
%o A323506 A001511(n) = (1+valuation(n,2));
%o A323506 A036987(n) = !bitand(n,1+n);
%o A323506 A323505(n) = if(!n,1,if(!(n%2), 2*A323505(n/2), (A001511(n+1)+1-A036987(n))*A323505((n-1)/2)));
%o A323506 A246660(n) = { my(i=0, p=1); while(n>0, if(n%2, i++; p = p * i, i = 0); n = n\2); p; };
%o A323506 A323506(n) = (A323505(n)/A246660(n));
%Y A323506 Cf. A246660, A323505.
%K A323506 nonn
%O A323506 0,2
%A A323506 _Antti Karttunen_, Jan 16 2019