A239215 -id:A239215 - cp's OEIS frontend

A239084 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d < e <= f, and S is always extended with the smallest integer not yet present in S.

1, 2, 10, 3, 11, 4, 12, 13, 14, 15, 16, 5, 6, 17, 18, 7, 8, 19, 20, 9, 21, 30, 31, 32, 22, 23, 24, 25, 26, 27, 28, 29, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 50, 51, 52, 53, 54, 44, 45, 46, 47, 48, 49, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 70, 71, 72, 73, 74, 75, 76, 66

Offset: 1

N. J. A. Sloane, Mar 10 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sb)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

A239085 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d < e > f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 90, 11, 10, 12, 20, 13, 30, 14, 40, 15, 50, 16, 60, 17, 70, 18, 80, 19, 91, 22, 21, 23, 31, 24, 41, 25, 51, 26, 61, 27, 71, 28, 81, 29, 92, 33, 32, 34, 42, 35, 52, 36, 62, 37, 72, 38, 82, 39, 93, 44, 43, 45, 53, 46, 63, 47, 73, 48, 83, 49, 94, 55, 54, 56, 64, 57, 74, 58, 84, 59, 95, 66, 65, 67, 75, 68, 85, 69, 96, 77, 76

Offset: 1

N. J. A. Sloane, Mar 10 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sc)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

a[1]=1;a[n_]:=a[n]=Block[{k=1},While[MemberQ[s=Array[a,n-1],k]||Or@@(#<#2>#3&@@@Partition[Flatten[IntegerDigits/@Join[s[[-2;;]],{k}]],3,1]),k++];k];Array[a,90] (* Giorgos Kalogeropoulos, May 14 2022 *)

A239088 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d > e > f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 12, 13, 14, 15, 16, 17, 18, 19, 22, 20, 21, 23, 24, 25, 26, 27, 28, 29, 33, 30, 31, 32, 34, 35, 36, 37, 38, 39, 44, 40, 41, 42, 43, 45, 46, 47, 38, 49, 55, 50, 51, 52, 53, 54, 56, 57, 58, 59, 66, 60, 61, 62, 63, 64, 65, 67, 68, 69, 77, 70

Offset: 1

N. J. A. Sloane, Mar 11 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sm)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

A239089 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d > e >= f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 34, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89, 90, 10, 11, 20, 21, 22, 30, 31, 32, 33, 40, 41, 42, 43, 44, 50

Offset: 1

N. J. A. Sloane, Mar 11 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sn)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

A239138 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d <= e > f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 99, 999, 9999, 99999, 999999, 9999999, 99999999, 999999999, 9999999999, 99999999999, 999999999999, 9999999999999, 99999999999999, 999999999999999, 9999999999999999, 99999999999999999, 999999999999999999, 9999999999999999999

Offset: 1

Michel Marcus, Mar 11 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Sh)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

A239216 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d >= e >= f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 18, 19, 23, 24, 25, 26, 27, 28, 29, 34, 35, 36, 37, 38, 39, 45, 46, 47, 48, 49, 56, 57, 58, 59, 67, 68, 69, 78, 79, 89, 120, 10, 11, 20, 21, 22, 30, 31, 32, 33, 40, 41, 42, 43, 44, 50, 51, 52, 53, 54, 55, 60

Offset: 1

Michel Marcus, Mar 12 2014

Computed by Lars Blomberg.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence Ss)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

a[1]=1;a[n_]:=a[n]=Block[{k=1},While[MemberQ[s=Array[a,n-1],k]||Or@@(#>=#2>=#3&@@@Partition[Flatten[IntegerDigits/@Join[Last@s,{k}]],3,1]),k++];k];Array[a,67] (* Giorgos Kalogeropoulos, May 13 2022 *)

A239217 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d >= e = f, and S is always extended with the smallest integer not yet present in S.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 20, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 30, 23, 24, 25, 26, 27, 28, 29, 31, 32, 33, 40, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 50, 45, 46, 47, 48, 49, 51, 52, 53, 54, 55, 60, 56, 57, 58, 59, 61, 62, 63, 64, 65, 66, 70, 67, 68, 69, 71, 72, 73, 74, 75, 76, 77, 80, 78, 79, 81, 82, 83, 84, 85, 86, 87, 88, 90, 89, 91, 92, 93, 94, 95, 96, 97, 98, 99, 101, 102, 103, 104, 105, 106, 107, 108, 109

Offset: 1

Michel Marcus and N. J. A. Sloane, Mar 12 2014

Computed by Lars Blomberg.

More than the usual number of terms are displayed, in order to show the difference from A130571. Differs from A130571 at index 91: a(91) = 91, while A130571(91) = 100.

Eric Angelini, Posting to Sequence Fans Mailing List, Sep 28 2013.

Eric Angelini, Less than <, Equal to =, Greater than > (see sequence St)
Eric Angelini, Less than <, Equal to =, Greater than > [Cached copy, with permission of the author]

The sequences in this family are given in A239083-A239086, A239136-A239139, A239087-A239090, A239215-A239218, A239235.

Cf. A130571.

a[1]=1;a[n_]:=a[n]=Block[{k=1},While[MemberQ[s=Array[a,n-1],k]||Or@@(#>=#2==#3&@@@Partition[Flatten[IntegerDigits/@Join[Last@s,{k}]],3,1]),k++];k];Array[a,108] (* Giorgos Kalogeropoulos, May 13 2022 *)

cp's OEIS Frontend

A239084 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d < e <= f, and S is always extended with the smallest integer not yet present in S.

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A239085 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d < e > f, and S is always extended with the smallest integer not yet present in S.

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A239088 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d > e > f, and S is always extended with the smallest integer not yet present in S.

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A239089 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d > e >= f, and S is always extended with the smallest integer not yet present in S.

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A239138 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d <= e > f, and S is always extended with the smallest integer not yet present in S.

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A239216 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d >= e >= f, and S is always extended with the smallest integer not yet present in S.

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Mathematica

A239217 The sequence S = a(1), a(2), ... is defined by a(1)=1, if d,e,f are consecutive digits then we do not have d >= e = f, and S is always extended with the smallest integer not yet present in S.

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Mathematica