A023133 - OEIS

A023133

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).

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; graph; refs; listen; history; text; internal format)

OFFSET

1,2

REFERENCES

C. Kimberling, "Fractal Sequences and Interspersions", Ars Combinatoria, vol. 45 p 157 1997.

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

C. Kimberling, Interspersions

Index entries for sequences related to signature sequences

PROG

(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

CROSSREFS

Cf. A001840, A008810.

Sequence in context: A238326 A083480 A179547 * A026280 A115994 A276951

Adjacent sequences: A023130 A023131 A023132 * A023134 A023135 A023136

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved