A054762 a(n) is a cube mod a(i) for all i < n.

1, 2, 3, 4, 5, 7, 8, 13, 21, 27, 64, 91, 125, 161, 181, 216, 343, 512, 629, 729, 1000, 1079, 1331, 1728, 2197, 2267, 2744, 3151, 3375, 4096, 4913, 5741, 5832, 6733, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 17576, 18773, 19683, 21952, 23561, 24389, 27000

Offset

1,2

Links

Sean A. Irvine, Table of n, a(n) for n = 1..500

Sean A. Irvine, Java program (github)

Maple

q:= proc(n) option remember; {seq(irem(i^3, n), i=1..n)} end:
a:= proc(n) option remember; local k, l; l:= [seq(a(i), i=1..n-1)];
      for k from a(n-1)+1 while not andmap(x-> irem(k, x) in q(x), l)
      do od: k
    end: a(1):=1:
seq(a(n), n=1..48);  # Alois P. Heinz, Feb 23 2022

Mathematica

q[n_] := q[n] = Table[Mod[i^3, n], {i, 1, n}] // Union;
a[n_] := a[n] = Module[{k, l}, l = Array[a, n-1];
     For[k = a[n-1]+1, !AllTrue[l, MemberQ[q[#], Mod[k, #]]&], k++]; k];
a[1] = 1;
Table[a[n], {n, 1, 48}] (* Jean-François Alcover, May 20 2022, after Alois P. Heinz *)

Crossrefs

Cf. A034793.

Sequence in context: A309708 A285929 A309880 * A039088 A111794 A030290

Adjacent sequences: A054759 A054760 A054761 * A054763 A054764 A054765

Keyword

nonn

Author

Henry Bottomley, May 15 2000

Extensions

Corrected and extended by Sean A. Irvine, Feb 22 2022

Status

approved