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.

A054663 Number of monic irreducible polynomials over GF(5) with zero trace.

Original entry on oeis.org

1, 2, 8, 30, 124, 516, 2232, 9750, 43400, 195248, 887784, 4068740, 18780048, 87191964, 406900992, 1907343750, 8975758272, 42385503300, 200773540296, 953674218720, 4541306267856, 21674415838068, 103660251783288
Offset: 1

Views

Author

N. J. A. Sloane, Apr 18 2000

Keywords

Comments

Also number of 5-ary Lyndon words with trace 0 mod 5; also number of Lyndon words of trace 0 over GF(5). - Frank Ruskey and Nate Kube, Sep 11 2002

Links

Crossrefs

Cf. A000048, A051841, A046211, A046209, A054661, etc.

Extensions

More terms from James Sellers, Apr 19 2000

A054664 Number of 4-ary Lyndon words of length n with trace 0 mod 4.

Original entry on oeis.org

1, 1, 5, 14, 51, 165, 585, 2032, 7280, 26163, 95325, 349350, 1290555, 4792905, 17895679, 67106816, 252645135, 954429840, 3616814565, 13743869130, 52357696365, 199911109725, 764877654105, 2932030657200, 11258999068416
Offset: 1

Views

Author

N. J. A. Sloane, Apr 18 2000

Keywords

Comments

Also number of 4-ary Lyndon words of length n with trace 2 mod 4.

Links

Crossrefs

Cf. A000048, A051841, A046211, A046209, A054660, etc.

Programs

  • Mathematica
    a[n_] := 1/(4 n) Sum[GCD[d, 4] MoebiusMu[d] 4^(n/d), {d, Divisors[n]}];
Array[a, 30] (* Andrey Zabolotskiy, Dec 19 2020 *)

Formula

From Andrey Zabolotskiy, Dec 19 2020: (Start)
a(n) = A068596(n) + A074403(n) + A074404(n) + A074405(n).
a(n) = A074410(n) + A074411(n) + A074412(n) + A074413(n). (End)

Extensions

More terms from James Sellers, Apr 19 2000

A054665 Number of 6-ary Lyndon words with trace 0 mod 6.

Original entry on oeis.org

1, 2, 11, 51, 259, 1282, 6665, 34938, 186612, 1007510, 5496925, 30231741, 167444795, 932900050, 5224277345, 29386526544, 165947641615, 940369781244, 5345260877285, 30467985992745, 174102782853475, 997134114520250
Offset: 1

Views

Author

N. J. A. Sloane, Apr 18 2000

Keywords

Links

Crossrefs

Cf. A000048, A051841, A046211, A046209, A054660, etc.

Extensions

More terms from James Sellers, Apr 19 2000

A054667 Number of 6-ary Lyndon words with trace 2 mod 6.

Original entry on oeis.org

1, 2, 12, 51, 259, 1284, 6665, 34938, 186624, 1007510, 5496925, 30231792, 167444795, 932900050, 5224277604, 29386526544, 165947641615, 940369782528, 5345260877285, 30467985992745, 174102782860140, 997134114520250
Offset: 1

Views

Author

N. J. A. Sloane, Apr 18 2000

Keywords

Comments

Also number of 6-ary Lyndon words with trace 4 mod 6.

Links

Crossrefs

Cf. A000048, A051841, A046211, A046209, A054660, etc.

Extensions

More terms from James Sellers, Apr 19 2000
Previous Showing 11-14 of 14 results.

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

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