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A138330 Beatty discrepancy of the complementary equation b(n)=a(a(n))+a(n). 1
1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The Beatty discrepancy is defined in A138253. Here it measures the closeness of the pair (A136497,A136498) to the Beatty pair (A001951,A001952).

LINKS

Table of n, a(n) for n=1..105.

FORMULA

A138330(n) = d(n)-c(c(n))-c(n), where c(n)=A001951 and d(n)=A001952.

A138330(n)=2*n-A007069(n) - Benoit Cloitre, May 08 2008

EXAMPLE

d(1)-c(c(1))-c(1)=3-1-1=1;

d(2)-c(c(2))-c(2)=6-2-2=2;

d(3)-c(c(3))-c(3)=10-5-4=1;

d(4)-c(c(4))-c(4)=13-7-5=1.

PROG

(PARI) a(n)=2*n-floor(sqrt(2)*floor(sqrt(2)*n)) - Benoit Cloitre, May 08 2008

CROSSREFS

Cf. A001951, A001952, A136497, A136498, A138253.

Sequence in context: A115722 A115721 A279497 * A128591 A254444 A102005

Adjacent sequences:  A138327 A138328 A138329 * A138331 A138332 A138333

KEYWORD

nonn

AUTHOR

Clark Kimberling, Mar 14 2008

STATUS

approved

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Last modified April 27 09:16 EDT 2017. Contains 285508 sequences.