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A023133
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Signature sequence of Pi (arrange the numbers i+j*x (i,j >= 1) in increasing order; the sequence of i's is the signature of x).
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4
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1, 2, 3, 4, 1, 5, 2, 6, 3, 7, 4, 1, 8, 5, 2, 9, 6, 3, 10, 7, 4, 1, 11, 8, 5, 2, 12, 9, 6, 3, 13, 10, 7, 4, 1, 14, 11, 8, 5, 2, 15, 12, 9, 6, 3, 16, 13, 10, 7, 4, 1, 17, 14, 11, 8, 5, 2, 18, 15, 12, 9, 6, 3, 19, 16, 13, 10, 7, 4, 1, 20, 17, 14, 11, 8, 5, 2, 21, 18, 15, 12, 9, 6, 3
(list;
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refs;
listen;
history;
text;
internal format)
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OFFSET
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1,2
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REFERENCES
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C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.
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LINKS
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PROG
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(PARI) lista(nn) = {v = vector(nn^2, k, kij = k+nn-1; i = 1+(kij % nn); j = kij\nn; i+j*Pi); vs = vecsort(v, , 1); for (k=1, #vs, print1(curi = 1+((vs[k]+nn-1) % nn), ", "); if (curi == nn, break)); } \\ Michel Marcus, Apr 10 2015
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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