A186494 Adjusted joint rank sequence of (f(i)) and (g(j)) with f(i) before g(j) when f(i)=g(j), where f(i)=5i and g(j)=j-th pentagonal number. Complement of A186493.

1, 3, 5, 8, 12, 16, 21, 26, 32, 39, 46, 54, 62, 71, 81, 91, 102, 113, 125, 138, 151, 165, 179, 194, 210, 226, 243, 260, 278, 297, 316, 336, 356, 377, 399, 421, 444, 467, 491, 516, 541, 567, 593, 620, 648, 676, 705, 734, 764, 795, 826, 858, 890, 923, 957, 991, 1026, 1061, 1097, 1134, 1171, 1209, 1247, 1286, 1326, 1366, 1407, 1448, 1490, 1533, 1576, 1620, 1664, 1709, 1755, 1801, 1848, 1895, 1943, 1992, 2041, 2091, 2141

Offset

1,2

Links

Table of n, a(n) for n=1..83.

Example

First, write
....5..10..15..20..25..30..35..40.. (5i),
1..5......12......22............35..(pentagonal numbers).
Then replace each number by its rank, where ties are settled by ranking 5i before the pentagonal number:
a=(2,4,6,7,9,10,11,13,14,15,17,...)=A186493,
b=(1,3,5,8,12,16,21,26,32,39,46,..)=A186494.

Mathematica

(See A186493.)

Crossrefs

Cf. A186350, A186493, A186495, A186496.

Sequence in context: A194207 A236538 A194176 * A371702 A194180 A000212

Adjacent sequences: A186491 A186492 A186493 * A186495 A186496 A186497

Keyword

nonn

Author

Clark Kimberling, Feb 22 2011

Status

approved