login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A184928 n+[sn/r]+[tn/r]+[un/r], where []=floor and r=sin(pi/2), s=sin(pi/3), t=sin(pi/4), u=sin(pi/5). 4
1, 5, 8, 11, 14, 18, 21, 23, 27, 30, 33, 37, 40, 43, 45, 49, 52, 55, 59, 62, 65, 68, 71, 74, 77, 81, 84, 87, 91, 93, 96, 99, 103, 106, 109, 113, 116, 118, 121, 125, 128, 131, 135, 138, 140, 144, 147, 150, 153, 157, 160, 163, 166, 169, 172, 175, 179, 183, 185, 188, 191, 194, 198, 201, 204, 207, 211, 213, 216, 220, 223, 226, 229, 233, 236, 238, 242, 245, 248, 252, 255, 258, 260, 264, 267, 270, 274, 277, 280, 282, 286, 290, 292, 296, 299, 302, 306, 308, 312, 314, 318, 321, 324, 328, 330, 333, 336, 340, 344, 346, 350, 352, 355, 359, 362, 366, 368, 372, 375, 377 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequences A184924-A184928 partition the positive integers:

  A184928: 1,5,6,11,14,18,21,23,27,...

  A184929: 2,6,10,13,17,20,24,28,32,...

  A184930: 3,7,12,16,22,25,29,34,39,...

  A184931: 4,9,15,19,26,31,36,41,47,...

Jointly rank the sets {h*r}, {i*s}, {j*t}, {k*u},

where h>=1, i>=1, j>=1, k>=1.  The position of n*r in the joint ranking is n+[sn/r]+[tn/r]+[un/r], and likewise for the positions of n*s, n*t, and n*u.

LINKS

Table of n, a(n) for n=1..120.

MATHEMATICA

r=Sin[Pi/2]; s=Sin[Pi/3]; t=Sin[Pi/4]; u=Sin[Pi/5];

a[n_]:=n+Floor[n*s/r]+Floor[n*t/r]+Floor[n*u/r];

b[n_]:=n+Floor[n*r/s]+Floor[n*t/s]+Floor[n*u/s];

c[n_]:=n+Floor[n*r/t]+Floor[n*s/t]+Floor[n*u/t];

d[n_]:=n+Floor[n*r/u]+Floor[n*s/u]+Floor[n*t/u];

Table[a[n], {n, 1, 120}]  (* A184928 *)

Table[b[n], {n, 1, 120}]  (* A184929 *)

Table[c[n], {n, 1, 120}]  (* A184930 *)

Table[d[n], {n, 1, 120}]  (* A184931 *)

CROSSREFS

Cf. A184929, A184930, A184931; also, A184912, A184916, A184920, A184924.

Sequence in context: A104279 A184919 A063247 * A186238 A118520 A001954

Adjacent sequences:  A184925 A184926 A184927 * A184929 A184930 A184931

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 26 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified April 29 22:12 EDT 2017. Contains 285615 sequences.