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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A032177 Number of connected functions of n points with no fixed points and with no symmetries.

Original entry on oeis.org

0, 0, 1, 2, 6, 12, 30, 66, 156, 357, 842, 1961, 4643, 10960, 26072, 62084, 148499, 355784, 855038, 2058536, 4967099, 12005308, 29067646, 70483478, 171158311, 416168250, 1013156687, 2469301316, 6024696764, 14713845227, 35968547836, 88003373522, 215493542625
Offset: 1

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Author

Keywords

Crossrefs

Formula

a(n) = A032175(n) - A004111(n). [Corrected by Sean A. Irvine, May 28 2020]

Extensions

More terms from Sean A. Irvine, May 28 2020

A032176 Functions of n points with no symmetries.

Original entry on oeis.org

1, 1, 3, 6, 15, 34, 82, 193, 464, 1111, 2683, 6482, 15730, 38232, 93177, 227458, 556323, 1362639, 3342504, 8209130, 20185204, 49684404, 122413446, 301870406, 745019874, 1840103575, 4548008306, 11248190948
Offset: 1

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Author

Keywords

References

  • F. Bergeron, G. Labelle and P. Leroux, Combinatorial Species and Tree-Like Structures, Camb. 1998, p. 328. (4.4.31).

Crossrefs

Cf. A001372.

Formula

WEIGH transform of A032175. Also g.f. = (1-B(x^2))/(1-B(x)), B(x)=g.f. of A004111.
Showing 1-2 of 2 results.