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A184930 n+[rn/t]+[sn/t]+[un/t], where []=floor and r=sin(pi/2), s=sin(pi/3), t=sin(pi/4), u=sin(pi/5). 4
3, 7, 12, 16, 22, 25, 29, 34, 39, 44, 48, 51, 56, 61, 66, 70, 75, 79, 83, 88, 92, 97, 102, 105, 110, 114, 120, 124, 129, 132, 136, 142, 146, 151, 155, 159, 164, 168, 173, 177, 182, 186, 190, 195, 200, 205, 209, 212, 218, 222, 227, 231, 235, 240, 244, 249, 253, 259, 263, 266, 271, 275, 281, 285, 289, 293, 298, 303, 307, 311, 316, 320, 325, 329, 334, 339, 343, 347, 351, 356, 361, 365, 369, 373, 379, 383, 388, 392, 396, 401, 405, 410, 414, 419, 423, 427, 432, 437, 442, 446, 449, 454, 459, 464, 468, 472, 477, 481, 486, 490, 494, 500, 503, 508, 512, 518, 522, 526, 530, 534 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

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*t in the joint ranking is n+[rn/t]+[sn/t]+[un/t], 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. A184928, A184929, A184931.

Sequence in context: A184917 A084582 A072098 * A192740 A298022 A227133

Adjacent sequences:  A184927 A184928 A184929 * A184931 A184932 A184933

KEYWORD

nonn

AUTHOR

Clark Kimberling, Jan 26 2011

STATUS

approved

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Last modified February 17 23:47 EST 2018. Contains 299297 sequences. (Running on oeis4.)