A165634 Start with x=1 and repeat: if x is a prime number then (append i and then x, with x=prime(i)) else (only append x), continue with x:=x+1.

1, 1, 2, 2, 3, 4, 3, 5, 6, 4, 7, 8, 9, 10, 5, 11, 12, 6, 13, 14, 15, 16, 7, 17, 18, 8, 19, 20, 21, 22, 9, 23, 24, 25, 26, 27, 28, 10, 29, 30, 11, 31, 32, 33, 34, 35, 36, 12, 37, 38, 39, 40, 13, 41, 42, 14, 43, 44, 45, 46, 15, 47, 48, 49, 50, 51, 52, 16, 53, 54, 55, 56, 57, 58, 17, 59

Offset

1,3

Comments

All positive integers occur exactly twice: A095117 and A095116 give positions of first and second occurrences.

Links

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

Example

1,(1,2),(2,3),4,(3,5),6,(4,7),8,9,10,(5,11),12, ... .

Prog

(Haskell)
a165634 n = a165634_list !! (fromInteger n - 1)
a165634_list = concatMap (\x ->
   if a010051 x == 1 then [a049084 x, x] else [x]) [1..]
-- Reinhard Zumkeller, Apr 17 2012

Crossrefs

A049084, A000040.

Sequence in context: A370929 A355029 A290735 * A128282 A146985 A132993

Adjacent sequences: A165631 A165632 A165633 * A165635 A165636 A165637

Keyword

nonn

Author

Reinhard Zumkeller, Sep 23 2009

Status

approved