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A183993 "Types" (parities of i and j) when all the numbers i+j*r are ranked, where r=golden ratio, i>=0, j>=0. 9
4, 2, 3, 4, 1, 2, 4, 3, 4, 2, 1, 3, 2, 4, 3, 1, 4, 2, 4, 1, 3, 2, 4, 2, 3, 1, 4, 3, 2, 4, 1, 3, 2, 1, 4, 2, 3, 4, 1, 4, 3, 2, 4, 1, 2, 3, 2, 1, 4, 3, 2, 3, 4, 1, 4, 3, 2, 1, 4, 1, 2, 3, 4, 2, 1, 4, 3, 2, 3, 4, 1, 2, 4, 3, 2, 1, 4, 3, 1, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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. 61-62.

LINKS

Table of n, a(n) for n=1..80.

FORMULA

Let s(n)=i(n)+r*j(n) be the sequence obtained by arranging in increasing order all the numbers i+j*r, where r is the golden mean ((1+sqrt(5))/2), and i>=0, j>=0.  Then

a(n)=1 if i(n) is odd and j(n) is odd (n in A183989);

a(n)=2 if i(n) is odd and j(n) is even (n in A183990);

a(n)=3 if i(n) is even and j(n) is odd (n in A183991);

a(n)=4 if i(n) is even and j(n) is even (n in A183992).

EXAMPLE

(See the examples at A183989-A183992.)

CROSSREFS

Cf. A183987, A183988, A183989, A183990, A183991, A183992.

Sequence in context: A140396 A118945 A016692 * A184403 A198120 A001390

Adjacent sequences:  A183990 A183991 A183992 * A183994 A183995 A183996

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 08 2011

EXTENSIONS

I edited the definition slightly. - N. J. A. Sloane, Jan 11 2011

STATUS

approved

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Last modified February 18 02:15 EST 2019. Contains 320237 sequences. (Running on oeis4.)