A251595 Distinct terms in A251416.

2, 3, 4, 5, 6, 7, 10, 11, 13, 17, 18, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257

Offset: 1

Author

Reinhard Zumkeller, Dec 05 2014

Keywords

• nonn

Comments

A251417(n) gives number of repetitions of a(n) in A251416;

a(n) = prime(n-4) for n > 11 according to Bradley Klee's conjecture, empirically confirmed for the first 10000 primes;

equivalently: A098551(a(n)) = A251239(n-4) for n > 11.

Examples

			.   n |     a(n)     | A151417(n) | A098551(a(n))
. ----+--------------+------------+--------------
.   1 |    2         |          1 |             2
.   2 |    3         |          1 |             3
.   3 |    4 = 2*2   |          1 |             4
.   4 |    5         |          5 |             9
.   5 |    6 = 2*3   |          1 |            10
.   6 |    7         |          5 |            15
.   7 |   10 = 2*5   |          1 |            16
.   8 |   11         |          6 |            22
.   9 |   13         |          1 |            23
.  10 |   17         |          7 |            30
.  11 |   18 = 2*3*3 |          1 |            31
.  12 |   19         |         12 |            43
.  13 |   23         |          8 |            51
.  14 |   29         |         10 |            61
.  15 |   31         |          1 |            62
.  16 |   37         |         17 |            79
.  17 |   41         |          8 |            87
.  18 |   43         |          1 |            88
.  19 |   47         |         13 |           101
.  20 |   53         |         13 |           114
.  21 |   59         |         13 |           127
.  22 |   61         |          5 |           132
.  23 |   67         |         10 |           142
.  24 |   71         |         11 |           153
.  25 |   73         |          5 |           158
The last column gives the position of a(n) in A098550.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A098550, A098551, A251416, A251417, A251239.

Programs

Haskell

import Data.List (group)
a251595 n = a251595_list !! (n-1)
a251595_list = map head $ group a251416_list