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A098005
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Beatty sequence for 1/(3 - e): a(n) = floor(n/(3-e)).
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4
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3, 7, 10, 14, 17, 21, 24, 28, 31, 35, 39, 42, 46, 49, 53, 56, 60, 63, 67, 70, 74, 78, 81, 85, 88, 92, 95, 99, 102, 106, 110, 113, 117, 120, 124, 127, 131, 134, 138, 141, 145, 149, 152, 156, 159, 163, 166, 170, 173, 177, 181, 184, 188, 191, 195, 198, 202, 205, 209
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OFFSET
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1,1
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COMMENTS
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Let r = 1/(3-e) and s = e-2. Then 1/r + 1/s = 1, so that [r*n] and [s*n] represent a complementary pair of Beatty sequences, A098005 and A000062; r and s are the fractional parts of -e and e.
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LINKS
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FORMULA
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a(n) = floor(n/(3-e)).
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MATHEMATICA
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Table[Floor[n/(3-E)], {n, 1, 100}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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