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A251595 Distinct terms in A251416. 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

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

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

LINKS

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

EXAMPLE

. 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.

PROG

(Haskell)

import Data.List (group)

a251595 n = a251595_list !! (n-1)

a251595_list = map head $ group a251416_list

CROSSREFS

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

Sequence in context: A001751 A191927 A116000 * A050725 A080571 A165805

Adjacent sequences: A251592 A251593 A251594 * A251596 A251597 A251598

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Dec 05 2014

STATUS

approved

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Last modified March 31 21:40 EDT 2023. Contains 361673 sequences. (Running on oeis4.)