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, 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, 56, 52, 216, 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

Offset

1,3

Comments

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

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

Links

Table of n, a(n) for n=1..63.

Example

Arranged into blocks:
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, 56, 52, 216,
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,
...

Crossrefs

Cf. A245196, A245180.

Sequence in context: A364272 A316402 A054907 * A089554 A276617 A276616

Adjacent sequences: A245536 A245537 A245538 * A245540 A245541 A245542

Keyword

nonn,tabf

Author

N. J. A. Sloane, Jul 26 2014

Status

approved