cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A333559 Lexicographically earliest infinite sequence of positive terms such that for any two distinct nonempty intervals, say [t, u] and [v, w], a(t) * ... * a(u) <> a(v) * ... * a(w).

Original entry on oeis.org

2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 17, 16, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76
Offset: 1

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Author

Rémy Sigrist, Mar 26 2020

Keywords

Comments

By necessity, all terms are distinct and strictly greater than 1.
This sequence is a variant of A101274.
Does every positive integer correspond to a product of consecutive terms?

Examples

			The values of a(i) * ... * a(j) for i <= j <= 7 are:
  i\j|  1  2   3    4    5     6      7
  ---+---------------------------------
    1|  2  6  24  120  840  6720  60480
    2|  .  3  12   60  420  3360  30240
    3|  .  .   4   20  140  1120  10080
    4|  .  .   .    5   35   280   2520
    5|  .  .   .    .    7    56    504
    6|  .  .   .    .    .     8     72
    7|  .  .   .    .    .     .      9
		

Crossrefs

Cf. A079854, A101274 (additive variant), A333555 (XOR variant).

Programs

  • PARI
    See Links section.

Formula

a(n) = A079854(n+2) / A079854(n+1).
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