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A080343 Round(sqrt(2*n)) - floor(sqrt(2*n)). +0
3
0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,1

FORMULA

Runs are 0^1, 0^1, 0^2 1, 0^2 1, 0^3 1^2, 0^3 1^2, 0^4 1^3, 0^4 1^3, ...

a(n) = 1 iff n >= 4 and n is in the interval [t_k + 1, ..., t_k + floor(k/2)] for some k >= 2, where t_k = k*(k+1)/2 is a triangular number.

CROSSREFS

Cf. A023969, A080352.

Sequence in context: A144601 A144596 A118685 this_sequence A011664 A094091 A080679

Adjacent sequences: A080340 A080341 A080342 this_sequence A080344 A080345 A080346

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Mar 20 2003

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Last modified December 1 19:22 EST 2009. Contains 167811 sequences.


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