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

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