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A182786 Upper Beatty array of sqrt(3). 1
1, 2, 2, 6, 4, 3, 24, 15, 7, 4, 104, 64, 27, 9, 5, 462, 283, 116, 34, 11, 6, 2060, 1261, 513, 145, 43, 14, 7, 9194, 5627, 2286, 641, 186, 55, 16, 8, 41040, 25117, 10201, 2856, 824, 238, 63, 18, 9, 183204, 112122, 45534, 12743 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Upper and lower Beatty arrays U and L are defined in general at A181661.  Notation:  U(n,k) and L(n,k) for n>=1 and k>=0.

Column 2 of U is A022838, the Beatty sequence of sqrt(3); column 2 of L is the complement, A003511, the Beatty sequence of (1+sqrt(3))/2.

U(n,k)-L(n,k)=U(n,1)-L(n,1)=floor(n*r)-floor(n*s) where r=sqrt(3) and s=(1+r)/2.

LINKS

Table of n, a(n) for n=1..49.

EXAMPLE

Northwest corner of U:

1....2....6...24...104...

2....4...15...64...283...

3....7...27..116...513...

4....9...34..145...641...

CROSSREFS

Cf. A181661, A182787.

Sequence in context: A305353 A134458 A193819 * A009279 A059943 A264695

Adjacent sequences:  A182783 A182784 A182785 * A182787 A182788 A182789

KEYWORD

nonn,tabl

AUTHOR

Clark Kimberling, Dec 02 2010

STATUS

approved

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Last modified June 4 11:05 EDT 2020. Contains 334825 sequences. (Running on oeis4.)