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A080300 Global ranking function for totally balanced binary sequences. +0
43
0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 6, 0, 7, 0, 0, 0, 8, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,11

COMMENT

Note: the next nonzero value occurs at a(170)=9, as 170 = 10101010 is the lexicographically first totally balanced binary sequence of length 2*4.

FORMULA

a(n) = 0 if n=0 or (A080116(n)=0), otherwise a(n) = A014137(((A000523(n)+1)/2)-1)+A080301(n)

MAPLE

A080300 := n -> `if`((0 = n) or (0 = A080116(n)), 0, A014137(((A000523(n)+1)/2)-1)+A080301(n));

CROSSREFS

Inverse function of A014486, i.e. a(A014486(n)) = n for all n.

Sequence in context: A013374 A013371 A013372 this_sequence A116864 A079302 A138806

Adjacent sequences: A080297 A080298 A080299 this_sequence A080301 A080302 A080303

KEYWORD

nonn

AUTHOR

Antti Karttunen (my_firstname.my_surname(AT)iki.fi) Feb 21 2003

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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