A186343 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 pentagonal numbers and the octagonal numbers. Complement of A186342.

2, 4, 6, 9, 11, 14, 16, 19, 21, 23, 26, 28, 31, 33, 35, 38, 40, 43, 45, 47, 50, 52, 55, 57, 60, 62, 64, 67, 69, 72, 74, 76, 79, 81, 84, 86, 89, 91, 93, 96, 98, 101, 103, 105, 108, 110, 113, 115, 117, 120, 122, 125, 127, 130, 132, 134, 137, 139, 142, 144, 146, 149, 151, 154, 156, 159, 161, 163, 166, 168, 171, 173, 175, 178, 180, 183, 185, 188, 190, 192, 195, 197, 200, 202, 204, 207

Offset

1,1

Links

Table of n, a(n) for n=1..86.

Example

First, write
1..5...12....22..35..... (pentagonal)
1....8....21........40.. (octagonal)
Then replace each number by its rank, where ties are settled by ranking the pentagonal number before the octagonal:
a=(1,3,5,7,8,10,12,13,15,...)=A186342
b=(2,4,6,9,11,14,16,19,21,...)=A186343.

Mathematica

(See A186342.)

Crossrefs

Cf. A186342, A186344, A186345.

Sequence in context: A285075 A186316 A265286 * A224995 A091626 A085223

Adjacent sequences: A186340 A186341 A186342 * A186344 A186345 A186346

Keyword

nonn

Author

Clark Kimberling, Feb 18 2011

Status

approved