

A183992


Ranks of (even i)+(even j)*r when all i+j*r are ranked, where r=golden ratio, i>=0, j>=0.


9



1, 4, 7, 9, 14, 17, 19, 23, 27, 30, 35, 38, 40, 43, 49, 53, 55, 59, 63, 66, 70, 73, 77, 82, 85, 90, 93, 95, 98, 103, 107, 112, 116, 118, 121, 127, 131, 133, 137, 141, 143, 147, 153, 158, 160, 164, 168, 171, 175, 178, 182, 187, 189, 194, 198, 201, 206
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OFFSET

1,2


COMMENTS

Also the ranks of (even i)+(even j)/r, when all i+j/r are ranked, because 1/r = r1. Complement of A184333.


REFERENCES

Mohammad K. Azarian, Problem 123, Missouri Journal of Mathematical Sciences, Vol. 10, No. 3, Fall 1998, p. 176. Solution published in Vol. 12, No. 1, Winter 2000, pp. 6162.


LINKS

Table of n, a(n) for n=1..57.


EXAMPLE

Writing (i,j) for i+r*j, the first 7 in the ranking are
(0,0), (1,0), (0,1), (2,0), (1,1), (3,0), (0,2);
the ranks where both i and j are even are a(1)=1, a(2)=4,
a(3)=7.


CROSSREFS

Cf. A183987, A183988, A183989, A183990, A183991, A183993.
Sequence in context: A024608 A287111 A187900 * A187410 A310964 A310965
Adjacent sequences: A183989 A183990 A183991 * A183993 A183994 A183995


KEYWORD

nonn


AUTHOR

Clark Kimberling, Jan 08 2011


STATUS

approved



