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A157129
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a(n)=(length of n-th run divided by 2) using 1 and 2 and starting with 1,1.
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2
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1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..105.
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FORMULA
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As for the Kolakoski sequence we suspect sum(k=1,n,a(k))=(3/2)*n+o(n)
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EXAMPLE
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Third run = 1,1,1,1 of length 4 thus a(3)=4/2=2.
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PROG
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(PARI) ?w=[1, 1]; for(n=2, 1000, for(i=1, w[n], w=concat(w, 1+(n+1)%2)); w; ) ?a(n)=w[n]
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CROSSREFS
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Cf. A000002
Sequence in context: A308884 A101598 A342461 * A101615 A246359 A328114
Adjacent sequences: A157126 A157127 A157128 * A157130 A157131 A157132
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KEYWORD
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nonn
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AUTHOR
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Benoit Cloitre, Feb 23 2009
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STATUS
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approved
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