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A190366 n + [n*r/t] + [n*s/t] + [n*u/t]; r=sqrt(2), s=1/r, t=sqrt(3), u=1/t. 4
1, 3, 7, 9, 12, 14, 16, 19, 22, 25, 26, 29, 32, 34, 38, 40, 41, 45, 47, 50, 53, 54, 57, 60, 63, 65, 69, 70, 72, 76, 78, 81, 83, 85, 88, 91, 94, 96, 98, 101, 103, 107, 109, 110, 114, 116, 119, 122, 125, 126, 129, 132, 134, 138, 139, 141, 145, 147, 150, 152, 154, 157, 160, 163, 165, 167, 170, 172, 176, 178, 179, 183, 185, 188, 191 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
See A190364.
LINKS
FORMULA
A190364: a(n) = n + [n/2] + [n*sqrt(3/2)] + [n*sqrt(1/6)].
A190365: b(n) = 3*n + [n*sqrt(6)] + [n*sqrt(2/3)].
A190366: c(n) = n + [n*sqrt(2/3)] + [n*sqrt(1/6)] + [n/3].
A190367: d(n) = 4*n + [n*sqrt(6)] + [n*sqrt(3/2)].
MAPLE
r:=sqrt(2): s:=1/r: t:=sqrt(3): u:=1/t: seq(n + floor(n*r/t) + floor(n*s/t) + floor(n*u/t), n=1..10^3); # Muniru A Asiru, Feb 01 2018
MATHEMATICA
Table[n + Floor[n/3] + Floor[n*Sqrt[2/3]] + Floor[n*Sqrt[1/6]], {n, 1, 30}] (* G. C. Greubel, Jan 31 2018 *)
PROG
(PARI) for(n=1, 30, print1(n + floor(n/3) + floor(n*sqrt(2/3)) + floor(n*sqrt(1/6)), ", ")) \\ G. C. Greubel, Jan 31 2018
(Magma) [n + Floor(n/3) + Floor(n*Sqrt(2/3)) + Floor(n*Sqrt(1/6)): n in [1..30]]; // G. C. Greubel, Jan 31 2018
CROSSREFS
Sequence in context: A175637 A110404 A366529 * A342699 A284819 A190742
KEYWORD
nonn
AUTHOR
Clark Kimberling, May 09 2011
STATUS
approved

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Last modified February 23 05:35 EST 2024. Contains 370267 sequences. (Running on oeis4.)