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A158422 a[n] = number of bit strings of length n which have exactly as many substrings 000 as substrings 111. 1
1, 2, 4, 6, 10, 16, 28, 46, 82, 142, 256, 460, 846, 1556, 2912, 5454, 10332, 19618, 37506, 71894, 138432, 267136, 517142, 1002904, 1949366, 3794686, 7399060, 14444992, 28236426, 55251992, 108224818, 212167258, 416284478, 817369732 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

This was motivated by problem 11424 in the 2009 March issue of the American Mathematical monthly.

LINKS

R. H. Hardin, Table of n, a(n) for n=0..500

Shalosh B. Ekhad and Doron Zeilberger, Automatic Solution of Richard Stanley's Amer. Math. Monthly Problem #11610 and ANY Problem of That Type, arXiv preprint arXiv:1112.6207, 2011. See subpages for rigorous derivations of g.f., recurrence, asymptotics for this sequence.

CROSSREFS

Sequence in context: A052185 A136241 A160444 * A018161 A288599 A067880

Adjacent sequences:  A158419 A158420 A158421 * A158423 A158424 A158425

KEYWORD

nonn

AUTHOR

Dan Jurca (dan.jurca(AT)csueastbay.edu), Mar 18 2009

EXTENSIONS

a(11)-a(500)from R. H. Hardin, Aug 10 2009

STATUS

approved

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Last modified December 7 17:03 EST 2021. Contains 349581 sequences. (Running on oeis4.)