A186355 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=3i and g(j)=j(j+1)/2 (triangular number). Complement of A186354.

1, 3, 5, 7, 10, 13, 16, 20, 24, 28, 33, 38, 43, 49, 55, 61, 68, 75, 82, 90, 98, 106, 115, 124, 133, 143, 153, 163, 174, 185, 196, 208, 220, 232, 245, 258, 271, 285, 299, 313, 328, 343, 358, 374, 390, 406, 423, 440, 457, 475, 493, 511, 530, 549, 568, 588, 608, 628, 649, 670, 691, 713, 735, 757, 780, 803, 826, 850, 874, 898, 923, 948, 973, 999, 1025, 1051, 1078, 1105, 1132, 1160, 1188, 1216, 1245, 1274, 1303

Offset

1,2

Comments

See A186554.

Does this differ (apart from the additional 1) from A089108? - R. J. Mathar, Feb 25 2011

Links

Table of n, a(n) for n=1..85.

Example

First, write
  ...3..6..9....12..15..18..21..24.. (3*i)
  1..3..6....10.....15......21.... (triangular)
Then replace each number by its rank, where ties are settled by ranking 3*i before the triangular:
  a=(2,4,6,8,9,11,12,14,15,17,....)=A186354
  b=(1,3,5,7,10,13,16,20,24,28,...)=A186355.

Mathematica

(* See A186554. *)

Crossrefs

Cf. A186554, A186556, A186557.

Sequence in context: A329815 A384063 A089108 * A029899 A390187 A072166

Adjacent sequences: A186352 A186353 A186354 * A186356 A186357 A186358

Keyword

nonn

Author

Clark Kimberling, Feb 18 2011

Status

approved