A245538 - OEIS

%I #6 Jul 26 2014 13:49:48

%S 1,1,3,1,2,3,14,1,2,2,6,3,6,14,52,1,2,2,6,2,4,6,28,3,6,6,18,14,28,52,

%T 216,1,2,2,6,2,4,6,28,2,4,4,12,6,12,28,104,3,6,6,18,6,12,18,84,14,28,

%U 28,84,52,104,216,848,1,2,2,6,2,4,6,28,2,4,4,12,6,12,28,104

%N Write n>=1 as either n=2^k-2^r with 0 <= r <= k-1, in which case a(2^k-2^r)=A083424(k-r-1), or as n=2^k-2^r+j with 2 <= r <= k-1, 1 <= j < 2^r-1, in which case a(2^k-2^r+j)=2*A083424(k-r-1)*a(j).

%C Similar to A245180, except the multiplier 8 in that recurrence is set here to be 2.

%C See A245196 for a list of other sequences produced by this type of recurrence.

%e Arranged into blocks:

%e 1,

%e 1, 3,

%e 1, 2, 3, 14,

%e 1, 2, 2, 6, 3, 6, 14, 52,

%e 1, 2, 2, 6, 2, 4, 6, 28, 3, 6, 6, 18, 14, 28, 52, 216,

%e 1, 2, 2, 6, 2, 4, 6, 28, 2, 4, 4, 12, 6, 12, 28, 104, 3, 6, 6, 18, 6, 12, 18, 84, 14, 28, 28, 84, 52, 104, 216, 848,

%e ...

%Y Cf. A245196, A245180.

%K nonn,tabf

%O 1,3

%A _N. J. A. Sloane_, Jul 26 2014