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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A119092 Numbers k such that the k-th triangular number contains only digits {0,6,9}.

Original entry on oeis.org

3, 11, 36, 44, 363, 371, 1095, 1104, 1175, 44036, 348396, 440363, 366060011, 439560371, 3715095963, 140755746596, 3651575002644, 11042554867508396, 36350791163221211520
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119091. See A119034 for a table of cross-references.

Extensions

a(19) from Tyler Busby, Mar 30 2023

A119094 Numbers k such that the k-th triangular number contains only digits {0,7,8}.

Original entry on oeis.org

12, 39, 132, 1332, 13332, 41732, 118387, 126560, 133332, 1241612, 1333332, 11905535, 13333332, 124970227, 133333332, 1333333332, 11906972812, 13333333332, 37418660507, 37626774267, 42163256012, 133333333332
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119093. See A119034 for a table of cross-references.

A119096 Numbers k such that the k-th triangular number contains only digits {0,8,9}.

Original entry on oeis.org

44, 40244, 424049735, 14064073448975
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Comments

Next term exceeds 1.4*10^16.

Crossrefs

Cf. A000217, A119095. See A119034 for a table of cross-references.

A119098 Numbers k such that the k-th triangular number contains only digits {1,2,3}.

Original entry on oeis.org

1, 2, 6, 21, 66, 81, 206, 253, 666, 681, 4718, 6666, 6681, 66666, 66681, 156341, 666666, 666681, 1497406, 1569281, 6666666, 6666681, 66666666, 66666681, 666666666, 666666681, 6528600666, 6666666666, 6666666681, 66666666666
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119097. See A119034 for a table of cross-references.

A119100 Numbers k such that the k-th triangular number contains only digits {1,2,4}.

Original entry on oeis.org

1, 6, 66, 666, 1686, 2913, 6666, 9406, 15761, 66666, 666666, 6666666, 47140518, 66666666, 206951318, 666666666, 1512753193, 6666666666, 9406509886, 66666666666, 297026066681, 666666666666, 6666666666666, 66666666666666
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Comments

After 0, A002280 is a subsequence because A000217(A002280(m)) = (2*(10^m-1)/9)*10^m + (10^m-1)/9, which provides numbers of the type 22..2211..11 where 2's and 1's are repeated m times. - Bruno Berselli, Feb 24 2016

Crossrefs

See A119034 for a table of cross-references.

Programs

  • Magma
    [n: n in [1..2*10^7] | Set(Intseq(n*(n+1) div 2)) subset [1,2,4]]; // Vincenzo Librandi, Feb 24 2016
  • Mathematica
    Select[Range[2 10^7], Complement[IntegerDigits[# (# + 1)/2], {1, 2, 4}] == {} &] (* Vincenzo Librandi, Feb 24 2016 *)

A119102 Numbers k such that the k-th triangular number contains only digits {1,2,5}.

Original entry on oeis.org

1, 5, 6, 10, 49, 66, 101, 174, 205, 210, 550, 666, 714, 4806, 5010, 6498, 6666, 10114, 14914, 22410, 66666, 71449, 471701, 495005, 666666, 1500101, 2246130, 3241950, 6666666, 15591825, 17408114, 66666666, 666666666, 1024813373, 1581866714
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119101. See A119034 for a table of cross-references.

A119104 Numbers k such that the k-th triangular number contains only digits {1,2,6}.

Original entry on oeis.org

1, 3, 6, 11, 36, 66, 111, 651, 666, 1563, 1588, 5766, 6651, 6666, 15563, 15888, 36366, 65766, 66651, 66666, 205748, 363666, 576406, 657666, 666651, 666666, 6657666, 6666651, 6666666, 18014806, 36394123, 66576666, 66666651, 66666666
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119103. See A119034 for a table of cross-references.

A119106 Numbers k such that the k-th triangular number contains only digits {1,2,7}.

Original entry on oeis.org

1, 6, 18, 58, 66, 381, 493, 666, 1193, 6666, 12018, 66666, 156058, 379941, 585281, 666666, 6666666, 15603058, 66666666, 210319381, 666666666, 4933998806, 6666666666, 66666666666, 185864319933, 666666666666, 6666666666666
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119105. See A119034 for a table of cross-references.

A119108 Numbers k such that the k-th triangular number contains only digits {1,2,8}.

Original entry on oeis.org

1, 6, 7, 47, 66, 127, 487, 666, 1281, 1287, 1327, 1541, 1912, 6666, 7512, 13327, 60352, 66666, 133327, 666666, 1333327, 6666666, 13333327, 47375333, 66666666, 133333327, 666666666, 1333333327, 6666666666, 12750044793, 13333333327
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119107. See A119034 for a table of cross-references.

A119110 Numbers k such that the k-th triangular number contains only digits {1,2,9}.

Original entry on oeis.org

1, 6, 13, 66, 666, 6666, 21406, 24133, 66666, 666666, 774586, 1498613, 6666666, 66666666, 205975386, 666666666, 6666666666, 66666666666, 619564221386, 666666666666, 6650249918806, 6666666666666, 7654017627258
Offset: 1

Views

Author

Giovanni Resta, May 10 2006

Keywords

Crossrefs

Cf. A000217, A119109. See A119034 for a table of cross-references.
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