cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A182786 Upper Beatty array of sqrt(3).

Original entry on oeis.org

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
Offset: 1

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Author

Clark Kimberling, Dec 02 2010

Keywords

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.

Examples

			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.
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