A186331 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 hexagonal numbers. Complement of A186330.

1, 4, 6, 8, 10, 12, 14, 17, 19, 21, 23, 25, 27, 30, 32, 34, 36, 38, 40, 42, 45, 47, 49, 51, 53, 55, 58, 60, 62, 64, 66, 68, 70, 73, 75, 77, 79, 81, 83, 86, 88, 90, 92, 94, 96, 98, 101, 103, 105, 107, 109, 111, 114, 116, 118, 120, 122, 124, 127, 129, 131, 133, 135, 137, 139, 142, 144, 146, 148, 150, 152, 155, 157, 159, 161, 163, 165, 167, 170, 172

Offset

1,2

Comments

Does this differ from A186329 only at a(1)? - R. J. Mathar, Jan 09 2024

Links

Table of n, a(n) for n=1..80.

Example

First, write
1..5...12....22.....35......  (pentagonal)
1....6....15....28.......45.. (hexagonal)
Then replace each number by its rank, where ties are settled by ranking the pentagonal after the hexagonal:
a=(2,3,5,7,9,11,13,15,16,....)=A186330
b=(1,4,6,8,10,12,14,17,19,...)=A186331.

Mathematica

(See A186330.)

Crossrefs

Cf. A186328, A186329, A186330.

Sequence in context: A141109 A333197 A289426 * A258036 A242396 A061344

Adjacent sequences: A186328 A186329 A186330 * A186332 A186333 A186334

Keyword

nonn

Author

Clark Kimberling, Feb 17 2011

Status

approved