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 A109400 For all k: the first k numbers followed by the first k primes. 3
 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; text; internal format)
 OFFSET 1,2 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. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 EXAMPLE 1, 2; 1 2, 2 3; 1 2 3, 2 3 5; 1 2 3 4, 2 3 5 7; 1 2 ... MATHEMATICA With[{prs=Prime[Range[20]]}, Flatten[Table[{Range[n], Take[prs, n]}, {n, 10}]]] (* Harvey P. Dale, Dec 08 2011 *) PROG (Haskell) a109400 n = a109400_list !! (n-1) a109400_list = concat \$ zipWith (++) a002260_tabl a037126_tabl -- Reinhard Zumkeller, Jun 23 2015, Dec 11 2011 CROSSREFS Cf. A002260, A037126, A082500, A000040. Sequence in context: A054717 A086421 A290399 * A333831 A202389 A210868 Adjacent sequences: A109397 A109398 A109399 * A109401 A109402 A109403 KEYWORD nonn AUTHOR Reinhard Zumkeller, Jun 27 2005 STATUS approved

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Last modified February 6 01:28 EST 2023. Contains 360091 sequences. (Running on oeis4.)