A184338 - OEIS

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A184338

"Types" (parities of i and j) when all the numbers ir+j are ranked, where r=golden ratio, i>=0, j>=0.

4, 3, 2, 4, 1, 3, 4, 2, 4, 3, 1, 2, 3, 4, 2, 1, 4, 3, 4, 1, 2, 3, 4, 3, 2, 1, 4, 2, 3, 4, 1, 2, 3, 1, 4, 3, 2, 4, 1, 4, 2, 3, 4, 1, 3, 2, 3, 1, 4, 2, 3, 2, 4, 1, 4, 2, 3, 1, 4, 1, 3, 2, 4, 3, 1, 4, 2, 3, 2, 4, 1, 3, 4, 2, 3, 1, 4, 2, 1, 3, 2, 4, 3, 1, 4, 2, 3, 1, 2, 4, 1, 3, 4, 2, 4, 3

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..96.

FORMULA

Let s(n)=i(n)*r+j(n) be the sequence obtained by arranging in increasing order all the numbers ir+j, 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 A183991);

a(n)=3 if i(n) is even and j(n) is odd (n in A183990);

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

EXAMPLE

(See the examples at A183989-A183991.)

CROSSREFS

Cf. A184332, A184333, A183992, A183993.

Sequence in context: A197224 A340739 A196519 * A184412 A304240 A244951

Adjacent sequences: A184335 A184336 A184337 * A184339 A184340 A184341

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 11 2011

STATUS

approved