A128117 At the n-th iteration the sequence of integers from 1 to n are appended to the sequence a(n) times.
1, 1, 2, 1, 2, 3, 1, 2, 3, 1, 2, 3, 4, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 1, 2, 3, 4, 5, 6, 7, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 2, 3, 4
Offset: 1
Examples
a(5) = 2 so 1,2,3,4,5,1,2,3,4,5 is added to the end of the sequence at the fifth iteration.
Links
- Rémy Sigrist, Table of n, a(n) for n = 1..10258 (first 371 terms from Reed Kelly)
Crossrefs
Cf. A001462.
Programs
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Mathematica
cr[n_] := Module[ { A = {1,1,2}, i, j }, For [ i = 3, i <= n, i++, A = Join[ A, Flatten[ Table[ Range[i], {A[[i]]} ]]]; ]; A ]
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PARI
a = vector(101, n, 1); m=0; for (n=1, 10, for (t=1, a[n], for (k=1, n, print1 (a[m++]=k", ")))) \\ Rémy Sigrist, Feb 09 2022