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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

G. C. Greubel, Table of n, a(n) for n = 1..10000

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

Cf. A190364, A190365, A190367.

Sequence in context: A085074 A175637 A110404 * A284819 A190742 A289906

Adjacent sequences:  A190363 A190364 A190365 * A190367 A190368 A190369

KEYWORD

nonn

AUTHOR

Clark Kimberling, May 09 2011

STATUS

approved

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Last modified February 17 12:14 EST 2020. Contains 331996 sequences. (Running on oeis4.)