cp's OEIS Frontend

A245538 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).

%I A245538 #6 Jul 26 2014 13:49:48
%S A245538 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 A245538 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 A245538 28,84,52,104,216,848,1,2,2,6,2,4,6,28,2,4,4,12,6,12,28,104
%N A245538 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 A245538 Similar to A245180, except the multiplier 8 in that recurrence is set here to be 2.
%C A245538 See A245196 for a list of other sequences produced by this type of recurrence.
%e A245538 Arranged into blocks:
%e A245538 1,
%e A245538 1, 3,
%e A245538 1, 2, 3, 14,
%e A245538 1, 2, 2, 6, 3, 6, 14, 52,
%e A245538 1, 2, 2, 6, 2, 4, 6, 28, 3, 6, 6, 18, 14, 28, 52, 216,
%e A245538 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 A245538 ...
%Y A245538 Cf. A245196, A245180.
%K A245538 nonn,tabf
%O A245538 1,3
%A A245538 _N. J. A. Sloane_, Jul 26 2014