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A045653 Number of 2n-bead balanced binary strings, rotationally equivalent to reverse. 6
1, 2, 6, 8, 38, 52, 216, 268, 1062, 1232, 4956, 5524, 21848, 24000, 95780, 102808, 410662, 437548, 1748592, 1847524, 7384988, 7759144, 31033404, 32449828, 129774936, 135207552, 540807104, 561629852, 2246432996, 2326762744, 9306937416, 9617286180, 38468731942 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Andrew Howroyd, Table of n, a(n) for n = 0..1000

FORMULA

Inverse Moebius transform of A045662. - Andrew Howroyd, Sep 15 2019

PROG

(PARI) c(n)={sumdiv(n, d, moebius(d)*d)} \\ A023900

a(n)={if(n<1, n==0, 2*sumdiv(n, d, c(n/d) * d * binomial(d-d%2, d\2)))} \\ Andrew Howroyd, Sep 15 2019

CROSSREFS

Cf. A000984, A023900, A045662, A045654, A045655, A045656.

Sequence in context: A094678 A076507 A117542 * A235320 A152158 A291782

Adjacent sequences:  A045650 A045651 A045652 * A045654 A045655 A045656

KEYWORD

nonn

AUTHOR

David W. Wilson

EXTENSIONS

Terms a(30) and beyond from Andrew Howroyd, Sep 15 2019

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)