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.

Previous Showing 31-39 of 39 results.

A146113 Bell numbers (A000110) read mod 23.

Original entry on oeis.org

1, 1, 2, 5, 15, 6, 19, 3, 0, 10, 9, 1, 20, 1, 12, 9, 5, 6, 6, 9, 4, 16, 22, 2, 3, 7, 20, 21, 2, 22, 3, 10, 19, 10, 21, 21, 13, 21, 14, 11, 12, 15, 13, 20, 15, 1, 5, 10, 4, 18, 0, 1, 2, 13, 6, 6, 8, 19, 11, 11, 12, 2, 0, 4, 5, 10, 12, 16, 6, 15, 14, 22, 18, 1, 3, 15, 19, 12, 14, 4, 7, 22, 0, 14
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Comments

Conjecture: a(n+949112181811268728834319677753) = a(n). - G. C. Greubel, Feb 02 2016 [Conjecture is correct; see A054767. - Jianing Song, Jun 20 2025]

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 23: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 23] (* G. C. Greubel, Feb 02 2016 *)

A146114 Bell numbers (A000110) read mod 24.

Original entry on oeis.org

1, 1, 2, 5, 15, 4, 11, 13, 12, 3, 7, 18, 13, 13, 10, 17, 11, 12, 7, 17, 4, 15, 3, 10, 9, 1, 10, 13, 23, 20, 3, 13, 20, 19, 15, 18, 13, 21, 10, 1, 19, 20, 23, 9, 4, 23, 19, 18, 9, 1, 18, 13, 7, 4, 11, 5, 12, 19, 23, 10, 21, 21, 10, 9, 19, 4, 7, 17, 20, 15, 19, 2, 1, 9, 18, 13, 15, 4, 19, 13
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 24: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 24] (* G. C. Greubel, Feb 02 2016 *)

Formula

a(n+312) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146115 Bell numbers (A000110) read mod 25.

Original entry on oeis.org

1, 1, 2, 5, 15, 2, 3, 2, 15, 22, 0, 20, 22, 12, 22, 20, 22, 4, 9, 7, 22, 1, 23, 21, 14, 3, 24, 14, 5, 22, 22, 3, 19, 22, 24, 20, 17, 16, 21, 9, 17, 13, 17, 10, 1, 15, 5, 7, 11, 6, 20, 2, 13, 7, 11, 12, 0, 20, 13, 18, 12, 20, 13, 11, 20, 22, 13, 9, 11, 7, 20, 12, 20, 8, 2, 22, 7, 23, 20, 4, 19
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 25: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0,80]],25] (* Harvey P. Dale, Oct 24 2011 *)

Formula

a(n+3905) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146116 Bell numbers (A000110) read mod 26.

Original entry on oeis.org

1, 1, 2, 5, 15, 0, 21, 19, 6, 9, 15, 22, 11, 15, 16, 7, 7, 2, 21, 1, 12, 15, 11, 24, 7, 13, 18, 23, 1, 22, 23, 9, 0, 1, 13, 22, 5, 7, 18, 15, 11, 10, 19, 19, 22, 1, 1, 22, 1, 25, 12, 7, 13, 8, 3, 25, 2, 23, 15, 10, 23, 13, 24, 19, 7, 8, 11, 15, 14, 25, 25, 12, 7, 23, 24, 17, 13, 2, 19, 13, 16
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 26: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 26] (* G. C. Greubel, Feb 02 2016 *)

Formula

a(n+75718776648063) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146117 Bell numbers (A000110) read mod 27.

Original entry on oeis.org

1, 1, 2, 5, 15, 25, 14, 13, 9, 6, 10, 6, 4, 1, 7, 23, 23, 0, 22, 5, 1, 15, 6, 1, 15, 13, 19, 10, 23, 2, 24, 13, 5, 4, 6, 21, 10, 24, 10, 19, 10, 20, 14, 24, 7, 23, 22, 0, 6, 1, 6, 22, 19, 7, 5, 23, 18, 13, 14, 1, 15, 24, 19, 15, 22, 10, 1, 23, 20, 24, 13, 14, 22, 15, 3, 1, 24, 10, 10, 19, 11
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 27: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 80]], 27] (* Harvey P. Dale, Dec 17 2011 *)

Formula

a(n+117) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146118 Bell numbers (A000110) read mod 28.

Original entry on oeis.org

1, 1, 2, 5, 15, 24, 7, 9, 24, 7, 27, 18, 17, 9, 26, 17, 27, 24, 7, 5, 0, 15, 23, 2, 17, 5, 26, 1, 3, 4, 19, 1, 24, 27, 11, 14, 9, 13, 18, 9, 3, 4, 23, 1, 24, 27, 19, 14, 13, 17, 18, 9, 11, 12, 27, 9, 0, 27, 27, 2, 25, 1, 2, 13, 19, 8, 27, 5, 24, 15, 11, 6, 21, 25, 22, 25, 19, 24, 27, 25, 12
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

References

  • W. F. Lunnon et al., Arithmetic properties of Bell numbers to a composite modulus I, Acta Arith., 35 (1979), 1-16.

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 28: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 28] (* G. C. Greubel, Feb 02 2016 *)

Formula

a(n+1647084) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146119 Bell numbers (A000110) read mod 29.

Original entry on oeis.org

1, 1, 2, 5, 15, 23, 0, 7, 22, 6, 4, 28, 13, 13, 7, 20, 28, 17, 16, 20, 20, 15, 5, 25, 7, 24, 11, 21, 18, 2, 3, 7, 20, 9, 23, 7, 0, 28, 10, 3, 12, 26, 20, 27, 19, 16, 4, 7, 11, 6, 20, 1, 3, 2, 6, 3, 10, 20, 5, 10, 27, 0, 3, 1, 7, 28, 9, 13, 15, 9, 17, 18, 17, 6, 20, 11, 18, 17, 26, 21, 4, 5
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Comments

Conjecture: a(n+91703076898614683377208150526107718802981) = a(n). - G. C. Greubel, Feb 02 2016
This is correct, see A054767; the period is (29^29-1)/(29-1). - Joerg Arndt, Jun 19 2025

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 29: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 29] (* G. C. Greubel, Feb 02 2016 *)

A146120 Bell numbers (A000110) read mod 30.

Original entry on oeis.org

1, 1, 2, 5, 15, 22, 23, 7, 0, 27, 25, 0, 7, 7, 22, 5, 17, 24, 19, 17, 22, 21, 3, 16, 9, 13, 4, 19, 5, 2, 27, 13, 14, 7, 9, 0, 7, 21, 16, 19, 7, 8, 17, 15, 16, 5, 25, 12, 21, 1, 0, 7, 13, 22, 11, 17, 0, 25, 23, 28, 27, 15, 28, 21, 25, 22, 13, 29, 26, 27, 25, 2, 25, 3, 12, 7, 27, 28, 25, 19, 14
Offset: 0

Views

Author

N. J. A. Sloane, Feb 07 2009

Keywords

Links

Crossrefs

Cf. A000110, A146093-A146122 (Bell numbers read mod 3 to mod 32).
Cf. A054767 (periods).

Programs

  • Magma
    [Bell(n) mod 30: n in [0..100]]; // G. C. Greubel, Feb 02 2016
  • Mathematica
    Mod[BellB[Range[0, 100]], 30] (* G. C. Greubel, Feb 02 2016 *)

Formula

a(n+30459) = a(n). - G. C. Greubel, Feb 02 2016 [See A054767. - Jianing Song, Jun 20 2025]

A248843 Table read by rows in which row n lists divisors of (p^p-1)/(p-1) where p = prime(n).

Original entry on oeis.org

1, 3, 1, 13, 1, 11, 71, 781, 1, 29, 4733, 137257, 1, 15797, 1806113, 28531167061, 1, 53, 264031, 1803647, 13993643, 95593291, 476218721057, 25239592216021, 1, 10949, 1749233, 2699538733, 19152352117, 29557249587617, 4722122236541789
Offset: 1

Views

Author

Jean-François Alcover, Dec 03 2014

Keywords

Examples

			Table begins:
  [1, 3],
  [1, 13],
  [1, 11, 71, 781],
  [1, 29, 4733, 137257],
  [1, 15797, 1806113, 28531167061],
  [1, 53, 264031, 1803647, 13993643, 95593291, 476218721057, 25239592216021],
  ...

Links

Crossrefs

Cf. A000110, A001039, A054767, A125135, A214810, A214811, A214812.

Programs

  • Mathematica
    Table[p = Prime[n]; Divisors[(p^p - 1)/(p - 1)], {n, 1, 10}] // Flatten
Previous Showing 31-39 of 39 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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