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
Keywords
Examples
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.
Programs
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Mathematica
(See A186554.)
Comments