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.

Showing 1-5 of 5 results.

A118766 A118764(A118764(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 10, 11, 22, 23, 24, 25, 26, 27, 28, 20, 21, 29, 32, 33, 34, 35, 36, 37, 38, 39, 30, 31, 42, 43, 44, 45, 46, 47, 48, 40, 41, 49, 52, 53, 54, 55, 56, 57, 58, 59, 50, 51, 62, 63, 64, 65, 66, 67, 68, 60, 61, 69, 72, 73, 74
Offset: 0

Views

Author

Reinhard Zumkeller, May 01 2006

Keywords

Comments

Inverse integer permutation of A118765;
A118763(a(n)) = a(A118763(n)) = A118764(n).

Crossrefs

Cf. A118765.

A118767 Fixed points of permutations A118763, A118764, A118765 and A118766.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 29, 49, 69, 89
Offset: 1

Views

Author

Reinhard Zumkeller, May 01 2006

Keywords

Comments

A118763(a(n)) = A118764(a(n)) = A118765(a(n)) = A118766(a(n)) = a(n).
No more terms less than 10^4. Looking at the pattern mod 9, I conjecture that there will be more terms past 10^8. - Joshua Zucker, May 14 2006

Crossrefs

Cf. A118761.

A118763 a(n) = smallest number not occurring earlier having in decimal representation to its predecessor Levenshtein distance = 1; a(0)=0.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 10, 11, 12, 13, 14, 15, 16, 17, 18, 28, 20, 21, 22, 23, 24, 25, 26, 27, 29, 39, 30, 31, 32, 33, 34, 35, 36, 37, 38, 48, 40, 41, 42, 43, 44, 45, 46, 47, 49, 59, 50, 51, 52, 53, 54, 55, 56, 57, 58, 68, 60, 61, 62, 63, 64, 65, 66, 67, 69, 79, 70, 71
Offset: 0

Views

Author

Reinhard Zumkeller, May 01 2006

Keywords

Comments

Permutation of the natural numbers; inverse: A118764; A118765(n)=a(a(n)); a(A118767(n))=A118767(n);
A118768(n) = a(n+1) - a(n);

Crossrefs

Cf. A118757.

Programs

  • Mathematica
    levenshtein[s_List, t_List] := Module[{d, n = Length@ s, m = Length@ t}, Which[s === t, 0, n == 0, m, m == 0, n, s != t, d = Table[0, {m + 1}, {n + 1}]; d[[1, Range[n + 1]]] = Range[0, n]; d[[Range[m + 1], 1]] = Range[0, m]; Do[ d[[j + 1, i + 1]] = Min[d[[j, i + 1]] + 1, d[[j + 1, i]] + 1, d[[j, i]] + If[ s[[i]] === t[[j]], 0, 1]], {j, m}, {i, n}]; d[[ -1, -1]] ]]; f[lst_] :=  Block[{k = 1, l = IntegerDigits[ lst[[-1]]]}, While[ MemberQ[lst, k] || levenshtein[l, IntegerDigits[k]] > 1, k++]; Append[lst, k]]; Nest[f, {0}, 100] (* Robert G. Wilson v, Sep 22 2016 *)
  • Python
    from itertools import islice
    from Levenshtein import distance as Ld
    def agen(): # generator of terms
        an, aset, mink = 0, {0}, 1
        while True:
            yield an
            s, k = str(an), mink
            while k in aset or Ld(s, str(k)) != 1: k += 1
            an = k
            aset.add(k)
            while mink in aset: mink += 1
    print(list(islice(agen(), 73))) # Michael S. Branicky, Dec 01 2023

A118758 Inverse of A118757.

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 79, 78, 77
Offset: 0

Views

Author

Reinhard Zumkeller, May 01 2006

Keywords

Comments

Permutation of the natural numbers with fixed points A118761: a(A118761(n)) = A118761(n);
A118760(n) = a(a(n)); a(n) = A118757(n) for n < 100.

Crossrefs

Cf. A118764.

A118765 A118763(A118763(n)).

Original entry on oeis.org

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 18, 19, 10, 11, 12, 13, 14, 15, 16, 17, 27, 28, 20, 21, 22, 23, 24, 25, 26, 29, 38, 39, 30, 31, 32, 33, 34, 35, 36, 37, 47, 48, 40, 41, 42, 43, 44, 45, 46, 49, 58, 59, 50, 51, 52, 53, 54, 55, 56, 57, 67, 68, 60, 61, 62, 63, 64, 65, 66, 69, 78, 79, 70
Offset: 0

Views

Author

Reinhard Zumkeller, May 01 2006

Keywords

Comments

Inverse integer permutation of A118766;
A118764(a(n)) = a(A118764(n)) = A118763(n).

Crossrefs

Cf. A118766.
Showing 1-5 of 5 results.