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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.
4
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
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
KEYWORD
nonn
AUTHOR
Clark Kimberling, Feb 18 2011
STATUS
approved