A186291 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 squares and pentagonal numbers. Complement of A186290.

1, 4, 6, 8, 10, 13, 15, 17, 19, 22, 24, 26, 28, 30, 33, 35, 37, 39, 42, 44, 46, 48, 50, 53, 55, 57, 59, 62, 64, 66, 68, 70, 73, 75, 77, 79, 82, 84, 86, 88, 91, 93, 95, 97, 99, 102, 104, 106, 108, 111, 113, 115, 117, 119, 122, 124, 126, 128, 131, 133, 135, 137, 139, 142, 144, 146, 148, 151, 153, 155, 157, 159, 162, 164, 166, 168, 171, 173, 175, 177, 179, 182, 184, 186, 188, 191, 193, 195, 197, 200

Offset

1,2

Links

Table of n, a(n) for n=1..90.

Example

First, write
1..4...9....16....25..36..49..... (squares
1....5...12....22....35......51.. (pentagonal)
Replace each number by its rank, where ties are settled by ranking the square number after the pentagonal:
a=(2,3,5,7,9,11,12,14,....)=A186290.
b=(1,4,6,8,10,13,15,17,...)=A186291.

Mathematica

(See A186290.)

Crossrefs

Cf. A186219, A186288, A186289, A186291.

Sequence in context: A073670 A090169 A190330 * A189473 A189383 A287106

Adjacent sequences: A186288 A186289 A186290 * A186292 A186293 A186294

Keyword

nonn

Author

Clark Kimberling, Feb 17 2011

Status

approved