A146122 -id:A146122 - cp's OEIS frontend

A146101 Bell numbers (A000110) read mod 11.

1, 1, 2, 5, 4, 8, 5, 8, 4, 5, 2, 2, 3, 7, 9, 1, 2, 2, 1, 9, 7, 4, 5, 10, 5, 10, 3, 4, 3, 10, 5, 0, 9, 4, 4, 4, 2, 7, 7, 2, 4, 5, 9, 2, 8, 8, 6, 9, 3, 9, 6, 9, 3, 0, 10, 5, 3, 4, 1, 1, 4, 4, 1, 3, 10, 4, 8, 7, 5, 2, 5, 8, 5, 4, 2, 3, 1, 4, 1, 7, 7, 2, 2, 9, 6, 5, 4, 5, 5, 8, 3, 9, 4, 0, 4, 0, 9, 9, 10, 2, 0, 1, 2

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

Sequence is of period A054767(11) = 28531167061. - Jianing Song, Jun 20 2025

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 28531167061.

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

Cf. A054767 (periods).

[Bell(n) mod 11: n in [0..100]]; // Vincenzo Librandi, Feb 01 2016

Mod[BellB[Range[0, 100]], 11] (* G. C. Greubel, Jan 31 2016 *)

A146102 Bell numbers (A000110) read mod 12.

Original entry on oeis.org

1, 1, 2, 5, 3, 4, 11, 1, 0, 3, 7, 6, 1, 1, 10, 5, 11, 0, 7, 5, 4, 3, 3, 10, 9, 1, 10, 1, 11, 8, 3, 1, 8, 7, 3, 6, 1, 9, 10, 1, 7, 8, 11, 9, 4, 11, 7, 6, 9, 1, 6, 1, 7, 4, 11, 5, 0, 7, 11, 10, 9, 9, 10, 9, 7, 4, 7, 5, 8, 3, 7, 2, 1, 9, 6, 1, 3, 4, 7, 1, 8, 11, 3, 10, 5, 1, 6, 9, 7, 0, 7, 1, 4, 11, 11, 6, 1

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 156.

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

Cf. A054767 (periods).

[Bell(n) mod 12: n in [0..100]]; // Vincenzo Librandi, Feb 01 2016

Mod[BellB[Range[0, 10000]], 12] (* G. C. Greubel, Jan 31 2016 *)

a(n+156) = a(n). - G. C. Greubel, Jan 31 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146103 Bell numbers (A000110) read mod 13.

Original entry on oeis.org

1, 1, 2, 5, 2, 0, 8, 6, 6, 9, 2, 9, 11, 2, 3, 7, 7, 2, 8, 1, 12, 2, 11, 11, 7, 0, 5, 10, 1, 9, 10, 9, 0, 1, 0, 9, 5, 7, 5, 2, 11, 10, 6, 6, 9, 1, 1, 9, 1, 12, 12, 7, 0, 8, 3, 12, 2, 10, 2, 10, 10, 0, 11, 6, 7, 8, 11, 2, 1, 12, 12, 12, 7, 10, 11, 4, 0, 2, 6, 0, 3, 0, 11, 11, 6, 4, 8, 2, 4, 2, 8, 6, 3, 3

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 25239592216021.

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

Cf. A054767 (periods).

[Bell(n) mod 13: n in [0..100]]; // Vincenzo Librandi, Feb 01 2016

Mod[BellB[Range[0, 100]], 13] (* G. C. Greubel, Jan 31 2016 *)

a(n+25239592216021) = a(n). - G. C. Greubel, Jan 31 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146104 Bell numbers (A000110) read mod 14.

Original entry on oeis.org

1, 1, 2, 5, 1, 10, 7, 9, 10, 7, 13, 4, 3, 9, 12, 3, 13, 10, 7, 5, 0, 1, 9, 2, 3, 5, 12, 1, 3, 4, 5, 1, 10, 13, 11, 0, 9, 13, 4, 9, 3, 4, 9, 1, 10, 13, 5, 0, 13, 3, 4, 9, 11, 12, 13, 9, 0, 13, 13, 2, 11, 1, 2, 13, 5, 8, 13, 5, 10, 1, 11, 6, 7, 11, 8, 11, 5, 10, 13, 11, 12, 5, 9, 8, 9, 3, 2, 3, 7, 10, 3

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 411771.

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

Cf. A054767 (periods).

[Bell(n) mod 14: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0,100]],14] (* Harvey P. Dale, Sep 10 2012 *)

a(n+411771) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146105 Bell numbers (A000110) read mod 15.

Original entry on oeis.org

1, 1, 2, 5, 0, 7, 8, 7, 0, 12, 10, 0, 7, 7, 7, 5, 2, 9, 4, 2, 7, 6, 3, 1, 9, 13, 4, 4, 5, 2, 12, 13, 14, 7, 9, 0, 7, 6, 1, 4, 7, 8, 2, 0, 1, 5, 10, 12, 6, 1, 0, 7, 13, 7, 11, 2, 0, 10, 8, 13, 12, 0, 13, 6, 10, 7, 13, 14, 11, 12, 10, 2, 10, 3, 12, 7, 12, 13, 10, 4, 14, 5, 3, 4, 8, 4, 3, 12, 7, 12, 7, 10

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 10153.

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

Cf. A054767 (periods).

[Bell(n) mod 15: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0, 100]], 15] (* G. C. Greubel, Feb 01 2016 *)

a(n+10153) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146106 Bell numbers (A000110) read mod 16.

Original entry on oeis.org

1, 1, 2, 5, 15, 4, 11, 13, 12, 11, 7, 10, 13, 5, 10, 1, 3, 12, 15, 1, 12, 15, 11, 10, 9, 9, 2, 13, 7, 4, 3, 5, 12, 3, 15, 10, 5, 13, 10, 9, 11, 12, 7, 9, 12, 7, 3, 10, 1, 1, 2, 5, 15, 4, 11, 13, 12, 11, 7, 10, 13, 5, 10, 1, 3, 12, 15, 1, 12, 15, 11, 10, 9, 9, 2, 13, 7, 4, 3, 5, 12, 3, 15, 10, 5

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

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

Cf. A054767 (periods).

[Bell(n) mod 16: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0, 100]], 16] (* G. C. Greubel, Feb 01 2016 *)

a(n+48) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146107 Bell numbers (A000110) read mod 17.

Original entry on oeis.org

1, 1, 2, 5, 15, 1, 16, 10, 9, 16, 1, 15, 11, 6, 15, 11, 14, 2, 3, 7, 3, 16, 0, 9, 2, 8, 0, 16, 9, 0, 4, 9, 8, 16, 5, 10, 10, 2, 16, 9, 11, 10, 8, 16, 8, 9, 4, 13, 0, 7, 4, 15, 3, 12, 1, 8, 3, 4, 1, 7, 7, 0, 13, 0, 13, 7, 11, 2, 1, 15, 13, 9, 11, 7, 5, 8, 14, 7, 13, 13, 13, 3, 1, 13, 3, 16, 11, 5, 3

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

Conjecture: a(n+51702516367896047761) = a(n). - G. C. Greubel, Feb 01 2016 [Conjecture is correct; see A054767. - Jianing Song, Jun 20 2025]

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 51702516367896047761.

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

Cf. A054767 (periods).

[Bell(n) mod 17: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0, 100]], 17] (* G. C. Greubel, Feb 01 2016 *)

A146108 Bell numbers (A000110) read mod 18.

Original entry on oeis.org

1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15, 16, 5, 13, 0, 15, 1, 6, 13, 1, 16, 5, 5, 0, 13, 5, 10, 15, 15, 10, 15, 13, 10, 1, 5, 2, 15, 13, 14, 13, 15, 12, 1, 15, 10, 1, 1, 2, 5, 15

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000 [b-file restored by _Georg Fischer_, Jul 25 2020]
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1).

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

Cf. A054767 (periods).

[Bell(n) mod 18: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0,90]],18] (* Harvey P. Dale, Apr 27 2013 *)

a(n+39) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

A146109 Bell numbers (A000110) read mod 19.

Original entry on oeis.org

1, 1, 2, 5, 15, 14, 13, 3, 17, 0, 18, 4, 5, 7, 14, 16, 15, 1, 10, 2, 3, 7, 1, 10, 8, 16, 1, 17, 18, 3, 9, 12, 2, 11, 12, 16, 11, 12, 5, 10, 8, 11, 18, 5, 17, 18, 16, 2, 12, 2, 14, 13, 4, 9, 8, 4, 17, 15, 18, 0, 10, 4, 3, 16, 15, 18, 14, 14, 16, 8, 17, 13, 17, 12, 2, 13, 14, 18, 10, 14, 7, 0, 12

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

Conjecture: a(n+109912203092239643840221) = a(n). - G. C. Greubel, Feb 01 2016 [Conjecture is correct; see A054767. - Jianing Song, Jun 20 2025]

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 109912203092239643840221.

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

Cf. A054767 (periods).

[Bell(n) mod 19: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0,90]],19] (* Harvey P. Dale, May 04 2014 *)

A146110 Bell numbers (A000110) read mod 20.

Original entry on oeis.org

1, 1, 2, 5, 15, 12, 3, 17, 0, 7, 15, 10, 17, 17, 2, 5, 7, 4, 19, 17, 12, 11, 3, 6, 9, 13, 14, 9, 15, 12, 7, 13, 4, 7, 19, 10, 17, 1, 6, 9, 7, 8, 7, 5, 16, 15, 15, 2, 1, 1, 10, 17, 3, 12, 11, 17, 0, 15, 3, 18, 17, 5, 18, 1, 15, 12, 3, 9, 16, 7, 15, 2, 5, 13, 2, 17, 7, 8, 15, 9, 4, 15, 3, 14, 13, 9, 18

Offset: 0

N. J. A. Sloane, Feb 07 2009

nonn

G. C. Greubel, Table of n, a(n) for n = 0..10000
W. F. Lunnon, P. A. B. Pleasants, and N. M. Stephens, Arithmetic properties of Bell numbers to a composite modulus I, Acta Arithmetica 35 (1979), pp. 1-16.
Index entries for linear recurrences with constant coefficients, order 9372.

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

Cf. A054767 (periods).

[Bell(n) mod 20: n in [0..100]]; // Vincenzo Librandi, Feb 02 2016

Mod[BellB[Range[0,90]],20] (* Harvey P. Dale, May 12 2012 *)

a(n+9372) = a(n). - G. C. Greubel, Feb 01 2016 [See A054767. - Jianing Song, Jun 20 2025]

cp's OEIS Frontend

A146101 Bell numbers (A000110) read mod 11.

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A146102 Bell numbers (A000110) read mod 12.

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A146103 Bell numbers (A000110) read mod 13.

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A146104 Bell numbers (A000110) read mod 14.

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A146105 Bell numbers (A000110) read mod 15.

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A146106 Bell numbers (A000110) read mod 16.

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A146107 Bell numbers (A000110) read mod 17.

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A146108 Bell numbers (A000110) read mod 18.

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