A186345 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) after g(j) when f(i)=g(j), where f and g are the pentagonal numbers and the octagonal numbers. Complement of A186344.

1, 4, 6, 9, 11, 14, 16, 18, 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

Offset

1,2

Links

Table of n, a(n) for n=1..85.

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 after the octagonal:
a=(2,3,5,7,8,10,12,13,15,....)=A186344
b=(1,4,6,9,11,14,16,19,21,...)=A186345.

Mathematica

(See A186344.)

Crossrefs

Cf. A186342, A186343, A186344.

Sequence in context: A347467 A285078 A186318 * A285976 A190373 A329784

Adjacent sequences: A186342 A186343 A186344 * A186346 A186347 A186348

Keyword

nonn

Author

Clark Kimberling, Feb 18 2011

Status

approved