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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. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A186554.

Does this differ (apart form 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 3i 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: A036604 A001768 A089108 * A029899 A072166 A077000

Adjacent sequences:  A186352 A186353 A186354 * A186356 A186357 A186358

KEYWORD

nonn

AUTHOR

Clark Kimberling, Feb 18 2011

STATUS

approved

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Last modified August 20 06:32 EDT 2017. Contains 290824 sequences.