A186351 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f and g are the odd numbers and the triangular numbers. Complement of A186350.

2, 4, 6, 9, 13, 17, 21, 26, 32, 38, 44, 51, 59, 67, 75, 84, 94, 104, 114, 125, 137, 149, 161, 174, 188, 202, 216, 231, 247, 263, 279, 296, 314, 332, 350, 369, 389, 409, 429, 450, 472, 494, 516, 539, 563, 587, 611, 636, 662, 688, 714, 741, 769, 797, 825, 854, 884, 914, 944, 975, 1007, 1039, 1071, 1104, 1138, 1172, 1206, 1241, 1277, 1313, 1349, 1386, 1424, 1462, 1500

Offset: 1

Author

Clark Kimberling, Feb 18 2011

Keywords

• nonn

Comments

See A186350.

Examples

			First, write
1..3..5..7..9..11..13..15..17..21..23.. (odds)
1..3....6.....10.......15......21.... (triangular)
Then replace each number by its rank, where ties are settled by ranking the odd number before the triangular:
a = (1,3,5,7,8,10,11,12,14,....) = A186350
b = (2,4,6,9,13,17,21,26,32,...) = A186351.
		

Crossrefs

Cf. A186350, A186352, A186353, A227687.

Programs

Mathematica

(See A186350.)

Formula

See A186350.