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A140098
A Beatty sequence: a(n) = [n*(1+1/t)], where t = tribonacci constant (A058265); complement of A140099.
7
1, 3, 4, 6, 7, 9, 10, 12, 13, 15, 16, 18, 20, 21, 23, 24, 26, 27, 29, 30, 32, 33, 35, 37, 38, 40, 41, 43, 44, 46, 47, 49, 50, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 86, 87, 89, 91, 92, 94, 95, 97, 98, 100, 101, 103, 104, 106
OFFSET
1,2
EXAMPLE
Tribonacci constant: t = 1.839286755214161132551852564653286600...
1 + 1/t = 1.54368901269207636157085597180174798652520...
MATHEMATICA
Floor[Range[100]*(1 + 1/Root[#^3-#^2-#-1 &, 1])] (* Paolo Xausa, Jul 09 2024 *)
PROG
(PARI) {a(n)=local(t=(1+(19+3*sqrt(33))^(1/3)+(19-3*sqrt(33))^(1/3))/3); floor(n*(1+1/t))}
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 01 2008
STATUS
approved