cp's OEIS Frontend

A245539 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)=4*A083424(k-r-1)*a(j).

%I A245539 #6 Jul 26 2014 13:53:25
%S A245539 1,1,3,1,4,3,14,1,4,4,12,3,12,14,52,1,4,4,12,4,16,12,56,3,12,12,36,14,
%T A245539 56,52,216,1,4,4,12,4,16,12,56,4,16,16,48,12,48,56,208,3,12,12,36,12,
%U A245539 48,36,168,14,56,56,168,52,208,216,848
%N A245539 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)=4*A083424(k-r-1)*a(j).
%C A245539 Similar to A245180, except the multiplier 8 in that recurrence is set here to be 4.
%C A245539 See A245196 for a list of other sequences produced by this type of recurrence.
%e A245539 Arranged into blocks:
%e A245539 1,
%e A245539 1, 3,
%e A245539 1, 4, 3, 14,
%e A245539 1, 4, 4, 12, 3, 12, 14, 52,
%e A245539 1, 4, 4, 12, 4, 16, 12, 56, 3, 12, 12, 36, 14, 56, 52, 216,
%e A245539 1, 4, 4, 12, 4, 16, 12, 56, 4, 16, 16, 48, 12, 48, 56, 208, 3, 12, 12, 36, 12, 48, 36, 168, 14, 56, 56, 168, 52, 208, 216, 848,
%e A245539 ...
%Y A245539 Cf. A245196, A245180.
%K A245539 nonn,tabf
%O A245539 1,3
%A A245539 _N. J. A. Sloane_, Jul 26 2014