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A184919 n+[rn/u]+[sn/u]+[tn/u], where []=floor and r=1, s=2^(1/4), t=s^2, u=s^3. 4
1, 5, 8, 11, 14, 18, 20, 23, 27, 30, 33, 37, 39, 42, 45, 49, 53, 55, 58, 61, 64, 68, 71, 74, 77, 80, 84, 86, 90, 93, 96, 99, 102, 106, 108, 112, 116, 117, 121, 124, 127, 130, 134, 137, 139, 143, 146, 149, 153, 156, 159, 161, 165, 169, 171, 175, 177, 181, 184, 187, 191, 193, 196, 200, 202, 206, 209, 213, 216, 218, 222, 224, 228, 232, 235, 237, 240, 244, 246, 250, 254, 255, 259, 262, 266, 269, 272, 275, 277, 281, 285, 288, 291, 294, 297, 300, 303, 307, 310, 313, 316, 319, 322, 325, 329, 332, 334, 338, 341, 344, 348, 351, 354, 356, 360, 363, 366, 370, 373, 375 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The sequences A184916-A184919 partition the positive integers:

  A184916: 4,9,15,19,25,31,35,41,...

  A184917: 3,7,12,16,21,26,29,34,...

  A184918: 2,6,10,13,17,22,24,28,...

  A184919: 1,5,8,11,14,18,20,23,27,...

The joint ranking method of A184812 is extended here to four numbers r,s,t,u, as follows:  jointly rank the sets {h*r}, {i*s}, {j*t}, {k*u}, h>=1, i>=1, j>=1, k>=1.

The position of n*u in the joint ranking is

n+[rn/u]+[sn/u]+[tn/u], and likewise for the

positions of n*r, n*s, and n*t.

LINKS

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

MATHEMATICA

r=1; s=2^(1/4); t=2^(1/2); u=2^(3/4);

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}]  (* A184916 *)

Table[b[n], {n, 1, 120}]  (* A184917 *)

Table[c[n], {n, 1, 120}]  (* A184918 *)

Table[d[n], {n, 1, 120}]  (* A184919 *)

CROSSREFS

Cf. A184912, A184916, A184917, A184918.

Sequence in context: A022798 A022808 A104279 * A063247 A184928 A186238

Adjacent sequences:  A184916 A184917 A184918 * A184920 A184921 A184922

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 26 2011

STATUS

approved

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Last modified May 24 06:53 EDT 2019. Contains 323529 sequences. (Running on oeis4.)