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 11-14 of 14 results.

A054712 Number of powers of 12 modulo n.

Original entry on oeis.org

1, 2, 2, 2, 4, 2, 6, 3, 3, 5, 1, 2, 2, 7, 5, 3, 16, 3, 6, 5, 7, 2, 11, 3, 20, 3, 4, 7, 4, 5, 30, 4, 2, 17, 12, 3, 9, 7, 3, 6, 40, 7, 42, 2, 6, 12, 23, 3, 42, 21, 17, 3, 52, 4, 4, 8, 7, 5, 29, 5, 15, 31, 8, 4, 4, 2, 66, 17, 12, 13, 35, 3, 36, 10, 21, 7, 6, 3, 26, 6, 5, 41, 41, 7, 16, 43, 5, 3, 8
Offset: 1

Views

Author

Henry Bottomley, Apr 20 2000

Keywords

Links

Crossrefs

Cf. A054703 (base 2), A054704 (3), A054705 (4), A054706 (5), A054707 (6), A054708 (7), A054709 (8), A054717 (9), A054710 (10), A351524 (11), A054713 (13), A054714 (14), A054715 (15), A054716 (16).

Programs

  • Mathematica
    a[n_] := Max[IntegerExponent[2*n, 4], IntegerExponent[n, 3]] + Module[{e = IntegerExponent[n, {2, 3}]}, MultiplicativeOrder[12, n/Times @@ ({2, 3}^e)]]; Array[a, 100] (* Amiram Eldar, Aug 25 2024 *)

A054714 Number of powers of 14 modulo n.

Original entry on oeis.org

1, 2, 2, 3, 2, 3, 2, 4, 6, 3, 5, 4, 1, 2, 2, 5, 16, 7, 18, 4, 3, 6, 22, 5, 10, 2, 18, 3, 28, 3, 15, 6, 10, 17, 3, 8, 12, 19, 2, 5, 8, 3, 21, 7, 6, 23, 23, 6, 3, 11, 16, 3, 52, 19, 10, 4, 18, 29, 58, 4, 6, 16, 7, 7, 2, 11, 11, 18, 22, 3, 10, 9, 72, 13, 10, 20, 6, 3, 26, 6, 54, 9, 82, 4, 16
Offset: 1

Views

Author

Henry Bottomley, Apr 20 2000

Keywords

Links

Crossrefs

Cf. A054703 (base 2), A054704 (3), A054705 (4), A054706 (5), A054707 (6), A054708 (7), A054709 (8), A054717 (9), A054710 (10), A351524 (11), A054712 (12), A054713 (13), A054715 (15), A054716 (16).

Programs

  • Mathematica
    a[n_] := Module[{e = IntegerExponent[n, {2, 7}]}, Max[e] + MultiplicativeOrder[14, n/Times @@ ({2, 7}^e)]]; Array[a, 100] (* Amiram Eldar, Aug 25 2024 *)

A054715 Number of powers of 15 modulo n.

Original entry on oeis.org

1, 1, 2, 2, 2, 2, 1, 2, 3, 2, 5, 3, 12, 1, 2, 2, 8, 3, 18, 3, 2, 5, 22, 3, 3, 12, 4, 2, 28, 2, 10, 2, 6, 8, 2, 4, 36, 18, 13, 3, 40, 2, 21, 10, 3, 22, 46, 3, 7, 3, 9, 12, 13, 4, 6, 2, 19, 28, 29, 3, 15, 10, 3, 4, 13, 6, 11, 8, 23, 2, 35, 4, 72, 36, 3, 18, 5, 13, 26, 3, 5, 40, 82, 3, 9, 21, 29
Offset: 1

Views

Author

Henry Bottomley, Apr 20 2000

Keywords

Links

Crossrefs

Cf. A054703 (base 2), A054704 (3), A054705 (4), A054706 (5), A054707 (6), A054708 (7), A054709 (8), A054717 (9), A054710 (10), A351524 (11), A054712 (12), A054713 (13), A054714 (14), A054716 (16).

Programs

  • Mathematica
    a[n_] := Module[{e = IntegerExponent[n, {3, 5}]}, Max[e] + MultiplicativeOrder[15, n/Times @@ ({3, 5}^e)]]; Array[a, 100] (* Amiram Eldar, Aug 25 2024 *)

A054716 Number of powers of 16 modulo n.

Original entry on oeis.org

1, 2, 1, 2, 1, 2, 3, 2, 3, 2, 5, 2, 3, 4, 1, 2, 2, 4, 9, 2, 3, 6, 11, 2, 5, 4, 9, 4, 7, 2, 5, 3, 5, 3, 3, 4, 9, 10, 3, 2, 5, 4, 7, 6, 3, 12, 23, 2, 21, 6, 2, 4, 13, 10, 5, 4, 9, 8, 29, 2, 15, 6, 3, 3, 3, 6, 33, 3, 11, 4, 35, 4, 9, 10, 5, 10, 15, 4, 39, 2, 27, 6, 41, 4, 2, 8, 7, 6, 11, 4, 3, 12, 5, 24
Offset: 1

Views

Author

Henry Bottomley, Apr 20 2000

Keywords

Links

Crossrefs

Cf. A054703 (base 2), A054704 (3), A054705 (4), A054706 (5), A054707 (6), A054708 (7), A054709 (8), A054717 (9), A054710 (10), A351524 (11), A054712 (12), A054713 (13), A054714 (14), A054715 (15).

Programs

  • Mathematica
    a[n_] := IntegerExponent[8*n, 16] + MultiplicativeOrder[16, n/2^IntegerExponent[n, 2]]; Array[a, 100] (* Amiram Eldar, Aug 25 2024 *)
Previous Showing 11-14 of 14 results.

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