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).

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

Offset

1,3

Comments

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

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

Links

Table of n, a(n) for n=1..79.

Example

Arranged into blocks:
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, 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, 28, 84, 52, 104, 216, 848,
...

Crossrefs

Cf. A245196, A245180.

Sequence in context: A262218 A362940 A331695 * A080890 A251621 A016468

Adjacent sequences: A245535 A245536 A245537 * A245539 A245540 A245541

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jul 26 2014

Status

approved