A057132 -id:A057132 - cp's OEIS frontend

A057134 Number of equivalence classes of self-dual 4-valued Post functions of n variables under action of symmetric group S_n.

4, 128, 716353536, 14178431955039404875762272791942922240, 111731732749521642496450208318382051062328048504936611481207677617341443706047938314290688070835642649073892130179773602200265988880358130183392743915520

Offset: 1

Vladeta Jovovic, Aug 11 2000

nonn

Next term has 614 digits.

Cf. A001531, A057132, A057133, A001321.

A008840 Number of monotone self-dual Boolean functions of n variables that are inequivalent under the symmetric group.

Original entry on oeis.org

0, 1, 1, 2, 3, 7, 30, 716

Offset: 0

Daniel E. Loeb

D. E. Knuth, The Art of Computer Programming, Vol. 4A, Section 7.1.1, p. 79.

Daniel Elliott Loeb, Home page
Bartłomiej Pawelski, Counting and generating monotone Boolean functions, Doctoral Diss., Univ. Gdańsk, (Poland, 2024). See pp. 12, 15, 58, 67, 73. (Abstract in Polish.)
Index entries for sequences related to Boolean functions

Cf. A003180, A057132, A108803.

Cf. A107765 (non-isomorphic self dual monotones = differences of A008840?). - Olivier Gérard, Oct 11 2012

A057133 Number of equivalence classes of self-dual 3-valued Post functions of n variables under action of symmetric group S_n.

Original entry on oeis.org

3, 18, 3645, 317831937966, 3695220735363494263609015164945808626, 121096725674945775281820931369251071805435386335925283528419283108512015348357219417301307065046229239236569208945

Offset: 1

Vladeta Jovovic, Aug 11 2000

nonn

Next term has 345 digits.

Cf. A001531, A057132, A057134, A001321.

A057140 Number of equivalence classes of self-dual 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,3).

Original entry on oeis.org

1, 4, 169, 3926427054, 15206669692893781237708064484944058, 166113478292106687629383993647806682871917942531896956843533578349271314189657277839057196220767581277199448858

Offset: 1

Vladeta Jovovic, Aug 12 2000

nonn

Cf. A000616, A001323, A001531, A057132-A057134, A057141.

A057141 Number of equivalence classes of self-dual 4-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,4).

Original entry on oeis.org

1, 10, 11219012, 55384499824376217256962813110618112, 109113020263204729000439656560919971740554734868102159650138353883126645952577296311553839050398129021329284032263280840459408230233099699809693990912

Offset: 1

Vladeta Jovovic, Aug 12 2000

nonn

Cf. A000616, A001323, A001531, A057132-A057134, A057140.

cp's OEIS Frontend

A057134 Number of equivalence classes of self-dual 4-valued Post functions of n variables under action of symmetric group S_n.

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A008840 Number of monotone self-dual Boolean functions of n variables that are inequivalent under the symmetric group.

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A057133 Number of equivalence classes of self-dual 3-valued Post functions of n variables under action of symmetric group S_n.

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A057140 Number of equivalence classes of self-dual 3-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,3).

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A057141 Number of equivalence classes of self-dual 4-valued Post functions of n variables under action of semi-direct product of symmetric group S_n and complementing group C(n,4).

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