The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A190366

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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.
(history; published version)

#12 by Charles R Greathouse IV at Thu Sep 08 08:45:57 EDT 2022

PROG

(MAGMAMagma) [n + Floor(n/3) + Floor(n*Sqrt(2/3)) + Floor(n*Sqrt(1/6)): n in [1..30]]; // G. C. Greubel, Jan 31 2018

Discussion

Thu Sep 08

08:45

OEIS Server: https://oeis.org/edit/global/2944

#11 by Susanna Cuyler at Thu Feb 01 20:58:11 EST 2018

STATUS

proposed

approved

#10 by Jon E. Schoenfield at Thu Feb 01 20:09:41 EST 2018

STATUS

editing

proposed

#9 by Jon E. Schoenfield at Thu Feb 01 20:09:38 EST 2018

NAME

n + [n*r/t] + [n*s/t] + [n*u/t]; r=sqrt(2), s=1/r, t=sqrt(3), u=1/t.

STATUS

proposed

editing

#8 by Muniru A Asiru at Thu Feb 01 03:55:08 EST 2018

STATUS

editing

proposed

#7 by Muniru A Asiru at Thu Feb 01 03:54:39 EST 2018

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

STATUS

proposed

editing

#6 by G. C. Greubel at Wed Jan 31 23:35:32 EST 2018

STATUS

editing

proposed

#5 by G. C. Greubel at Wed Jan 31 23:35:27 EST 2018

NAME

n + [nrn*r/t] + [nsn*s/t] + [nun*u/t]; r=sqrt(2), s=1/r, t=sqrt(3), u=1/t.

LINKS

G. C. Greubel, <a href="/A190366/b190366.txt">Table of n, a(n) for n = 1..10000</a>

FORMULA

(See A190364.)

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)].

MATHEMATICA

(See A190364.)

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

STATUS

approved

editing

#4 by Russ Cox at Fri Mar 30 18:57:27 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, May 09 2011

Discussion

Fri Mar 30

18:57

OEIS Server: https://oeis.org/edit/global/285

#3 by T. D. Noe at Mon May 09 18:09:43 EDT 2011

STATUS

proposed

approved