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

1,1

Comments

See A186350.

Links

Table of n, a(n) for n=1..75.

Formula

See A186350.

Example

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.

Mathematica

(See A186350.)

Crossrefs

Cf. A186350, A186352, A186353, A227687.

Sequence in context: A098387 A283525 A038709 * A049981 A194178 A194213

Adjacent sequences: A186348 A186349 A186350 * A186352 A186353 A186354

Keyword

nonn

Author

Clark Kimberling, Feb 18 2011

Status

approved