A245537 - OEIS

A245537

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

%I #6 Jul 26 2014 13:45:37

%S 1,1,3,1,1,3,14,1,1,1,3,3,3,14,52,1,1,1,3,1,1,3,14,3,3,3,9,14,14,52,

%T 216,1,1,1,3,1,1,3,14,1,1,1,3,3,3,14,52,3,3,3,9,3,3,9,42,14,14,14,42,

%U 52,52,216,848,1,1,1,3,1,1,3,14,1,1,1,3,3,3,14,52

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

%C Similar to A245180, except the multiplier 8 in that recurrence is set here to be 1.

%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, 1, 3, 14,

%e 1, 1, 1, 3, 3, 3, 14, 52,

%e 1, 1, 1, 3, 1, 1, 3, 14, 3, 3, 3, 9, 14, 14, 52, 216,

%e 1, 1, 1, 3, 1, 1, 3, 14, 1, 1, 1, 3, 3, 3, 14, 52, 3, 3, 3, 9, 3, 3, 9, 42, 14, 14, 14, 42, 52, 52, 216, 848,

%e ...

%Y Cf. A245196, A245180.

%K nonn,tabf

%O 1,3

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