A182638 Upper Beatty array of sqrt(2).

1, 3, 2, 8, 6, 3, 27, 16, 10, 4, 100, 54, 29, 13, 5, 379, 200, 102, 38, 17, 6, 1447, 759, 381, 133, 50, 20, 7, 5536, 2899, 1449, 497, 176, 59, 23, 8, 21191, 11092, 5538, 1890, 658, 208, 67, 27, 9, 81124, 42458, 21192, 7223, 2504, 779, 235, 80

Offset: 1

Author

Clark Kimberling, Nov 22 2010

Keywords

• nonn
• tabl

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 A001952, the Beatty sequence of 2+sqrt(2); column 2 of L is the complement, A001951, the Beatty sequence of sqrt(2).

U(n,k)-L(n,k)=2n for all n>=1 and k>=1.

Examples

			Northwest corner of U:
1.....3.....8....27...100...
2.....6....16....54...200...
3....10....29...102...381...
4....13....38...133...497...
		

Crossrefs

Cf., A181661, A181886, A182639.