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A182638 Upper Beatty array of sqrt(2). 1
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 (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 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
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
Sequence in context: A307705 A240447 A135992 * A172084 A268828 A191440
KEYWORD
nonn,tabl
AUTHOR
Clark Kimberling, Nov 22 2010
STATUS
approved

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Last modified May 29 13:50 EDT 2024. Contains 372949 sequences. (Running on oeis4.)