A186274 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 triangular numbers and octagonal numbers. Complement of A186159.

2, 5, 9, 12, 15, 19, 22, 26, 29, 33, 36, 40, 43, 46, 50, 53, 57, 60, 64, 67, 71, 74, 78, 81, 84, 88, 91, 95, 98, 102, 105, 109, 112, 115, 119, 122, 126, 129, 133, 136, 140, 143, 147, 150, 153, 157, 160, 164, 167, 171, 174, 178, 181, 184, 188, 191, 195, 198, 202, 205, 209, 212, 216, 219, 222, 226, 229, 233, 236, 240, 243, 247, 250, 253, 257, 260, 264, 267, 271, 274, 278, 281, 284, 288, 291, 295, 298, 302, 305, 309, 312, 316, 319, 322, 326, 329, 333, 336, 340, 343

Offset

1,1

Comments

See A186159.

Links

Table of n, a(n) for n=1..100.

Example

First, write the triangular and octagonal numbers:
1..3..6.....10..15..21..28
1........8..........21......
Then replace each by its rank, where ties are settled by ranking the triangular number before the octagonal:
a=(1,3,4,6,7,8,10,11,13,...)=A186159.
b=(2,5,9,12,15,19,22,26,...)=A186274.

Mathematica

(See A186159.)

Crossrefs

Cf. A186159, A186219.

Sequence in context: A108165 A063957 A184579 * A373328 A184926 A342745

Adjacent sequences: A186271 A186272 A186273 * A186275 A186276 A186277

Keyword

nonn

Author

Clark Kimberling, Feb 16 2011

Status

approved