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A109400
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For all k: the first k numbers followed by the first k primes.
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3
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1, 2, 1, 2, 2, 3, 1, 2, 3, 2, 3, 5, 1, 2, 3, 4, 2, 3, 5, 7, 1, 2, 3, 4, 5, 2, 3, 5, 7, 11, 1, 2, 3, 4, 5, 6, 2, 3, 5, 7, 11, 13, 1, 2, 3, 4, 5, 6, 7, 2, 3, 5, 7, 11, 13, 17, 1, 2, 3, 4, 5, 6, 7, 8, 2, 3, 5, 7, 11, 13, 17, 19, 1, 2, 3, 4, 5, 6, 7, 8, 9, 2, 3, 5, 7, 11, 13, 17, 19, 23
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| a(k*(k-1) + m) = a(A002378(k-1) + m) = m for 1<=m<=k;
a(k^2 + m) = a(A000290(k) + m) = A000040(m) for 1<=m<=k;
see A109401 for number of primes and A109402 for partial sums.
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LINKS
| Reinhard Zumkeller, Table of n, a(n) for n = 1..10000
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EXAMPLE
| 1, 2; 1 2, 2 3; 1 2 3, 2 3 5; 1 2 3 4, 2 3 5 7; 1 2 ...
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MATHEMATICA
| With[{prs=Prime[Range[20]]}, Flatten[Table[{Range[n], Take[prs, n]}, {n, 10}]]] (* From Harvey P. Dale, Dec 08 2011 *)
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PROG
| (Haskell)
a109400 n = a109400_list !! (n-1)
a109400_list = concatMap (\x -> [1..x] ++ take x a000040_list) [1..]
-- Reinhard Zumkeller, Dec 11 2011
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CROSSREFS
| Cf. A002260, A037126, A082500, A000040.
Sequence in context: A178677 A054717 A086421 * A202389 A176853 A000374
Adjacent sequences: A109397 A109398 A109399 * A109401 A109402 A109403
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KEYWORD
| nonn
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 27 2005
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