

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
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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



