A341633 -id:A341633 - cp's OEIS frontend

A373697 Number of nondegenerate balanced unate functions of n or fewer variables.

Original entry on oeis.org

0, 2, 0, 8, 256, 16832, 31287424, 10393552784640

Offset: 0

Aniruddha Biswas, Jun 13 2024

Aniruddha Biswas and P. Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 13.
Index entries for sequences related to Boolean functions

Cf. A006126, A006602, A341633, A245079.

A371722 Number of balanced nondegenerate monotone Boolean functions of n or fewer variables.

Original entry on oeis.org

0, 1, 0, 1, 16, 526, 488866, 81199631130

Offset: 0

Aniruddha Biswas, Apr 04 2024

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 12.

Cf. A000372, A006126, A341633.

A371717 Number of balanced inequivalent monotone Boolean functions of n or fewer variables.

Original entry on oeis.org

1, 1, 2, 4, 16, 951, 16440466

Offset: 1

Aniruddha Biswas, Apr 04 2024

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 14.
Lennart Van Hirtum, A path to compute the 9th Dedekind Number using FPGA Supercomputing

Cf. A000372, A003182, A341633.

a(7) from Aniruddha Biswas, May 12 2024

A371718 Number of balanced inequivalent nondegenerate monotone Boolean functions of n or fewer variables.

Original entry on oeis.org

0, 1, 0, 1, 2, 12, 935, 16439515

Offset: 0

Aniruddha Biswas, Apr 05 2024

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 14.

Cf. A000372, A003182, A006126, A341633.

a(7) added by Aniruddha Biswas, Oct 18 2024

A373690 Number of balanced unate functions of n or fewer variables.

Original entry on oeis.org

0, 2, 4, 14, 296, 18202, 31392428, 10393772159334

Offset: 0

Aniruddha Biswas, Jun 13 2024

Aniruddha Biswas and P. Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 13.
Index entries for sequences related to Boolean functions

Cf. A341633, A245079.

Typo in a(3) corrected by Andrei Zabolotskii, Jul 29 2025

A374400 Number of balanced inequivalent unate functions of n or fewer variables.

Original entry on oeis.org

0, 2, 2, 6, 24, 254, 50172

Offset: 0

Aniruddha Biswas, Jul 07 2024

A Boolean function is said to be balanced if it takes the values 0 and 1 an equal number of times.

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 16.
Index entries for sequences related to Boolean functions

Cf. A341633, A245079, A003182, A000372, A372495, A000721.

A374401 Number of balanced inequivalent nondegenerate unate functions of n or fewer variables.

Original entry on oeis.org

0, 2, 0, 4, 18, 230, 49918

Offset: 0

Aniruddha Biswas, Jul 07 2024

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 16.
Index entries for sequences related to Boolean functions

Cf. A341633, A245079, A003182, A000372, A372495, A373697, A000721.

A378300 Number of NPN-equivalence classes of balanced monotone Boolean functions of n or fewer variables.

Original entry on oeis.org

1, 1, 2, 4, 15, 581

Offset: 1

Aniruddha Biswas, Nov 22 2024

a(n) is also the number of NPN-equivalence classes of balanced unate Boolean functions of n or fewer variables.

Aniruddha Biswas and Palash Sarkar, Counting unate and balanced monotone Boolean functions, arXiv:2304.14069 [math.CO], 2023.
Aniruddha Biswas and Palash Sarkar, Counting Unate and Monotone Boolean Functions Under Restrictions of Balancedness and Non-Degeneracy, J. Int. Seq. (2025) Vol. 28, Art. No. 25.3.4. See pp. 4, 17.

Cf. A000372, A003183, A037293, A341633.

cp's OEIS Frontend

A373697 Number of nondegenerate balanced unate functions of n or fewer variables.

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A371722 Number of balanced nondegenerate monotone Boolean functions of n or fewer variables.

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A371717 Number of balanced inequivalent monotone Boolean functions of n or fewer variables.

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A371718 Number of balanced inequivalent nondegenerate monotone Boolean functions of n or fewer variables.

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A373690 Number of balanced unate functions of n or fewer variables.

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A374400 Number of balanced inequivalent unate functions of n or fewer variables.

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A374401 Number of balanced inequivalent nondegenerate unate functions of n or fewer variables.

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A378300 Number of NPN-equivalence classes of balanced monotone Boolean functions of n or fewer variables.

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