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

1,2

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 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.

Links

Table of n, a(n) for n=1..53.

Example

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.

Sequence in context: A307705 A240447 A135992 * A172084 A268828 A191440

Adjacent sequences: A182635 A182636 A182637 * A182639 A182640 A182641

Keyword

nonn,tabl

Author

Clark Kimberling, Nov 22 2010

Status

approved