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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). 1

%I #6 Jul 26 2014 13:53:25

%S 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 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 48,36,168,14,56,56,168,52,208,216,848

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

%C Similar to A245180, except the multiplier 8 in that recurrence is set here to be 4.

%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, 4, 3, 14,

%e 1, 4, 4, 12, 3, 12, 14, 52,

%e 1, 4, 4, 12, 4, 16, 12, 56, 3, 12, 12, 36, 14, 56, 52, 216,

%e 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 ...

%Y Cf. A245196, A245180.

%K nonn,tabf

%O 1,3

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

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Last modified July 23 04:24 EDT 2024. Contains 374544 sequences. (Running on oeis4.)