A373011 Number of congruences of the 0-twisted Temperley-Lieb monoid of degree n.
2, 2, 3, 3, 7, 4, 8, 5, 9, 6, 10, 7, 11, 8, 12, 9, 13, 10, 14, 11, 15, 12, 16, 13, 17, 14, 18, 15, 19, 16, 20, 17, 21, 18, 22, 19, 23, 20, 24, 21, 25, 22, 26, 23, 27, 24, 28, 25, 29, 26, 30, 27, 31, 28, 32, 29, 33, 30, 34, 31, 35, 32, 36, 33, 37, 34, 38, 35
Offset: 0
Links
- Matthias Fresacher, Table of n, a(n) for n = 0..10000
- J. East and N. Ruškuc, Classification of congruences of twisted partition monoids, Advances in Mathematics, 395 (2022); arXiv version, arXiv:2010.04392 [math.RA], 2020.
- J. East, J. Mitchell, N. Ruškuc and M. Torpey, Congruence lattices of finite diagram monoids, Advances in Mathematics, 333 (2018), 931-1003; arXiv version, arXiv:1709.00142 [math.GR], 2018.
- Matthias Fresacher, (10min B&TL) Congruence Lattices of Finite Twisted Brauer & Temperley-Lieb Monoids-MatthiasFresacher, youtube video (2024).
- Matthias Fresacher, (50min B&TL) Congruence Lattices of Finite Twisted Brauer & Temperley-Lieb Monoids-MatthiasFresacher, youtube video (2024).
- Index entries for linear recurrences with constant coefficients, signature (1,1,-1).
Crossrefs
Closely related to A368923.
Programs
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Mathematica
LinearRecurrence[{1, 1, -1}, {2, 2, 3, 3, 7, 4}, 100] (* Paolo Xausa, Aug 07 2024 *) -
PARI
a(n)=if(n%2, (n+3)/2, n>2, n/2+5, n/2+2) \\ Charles R Greathouse IV, Aug 07 2024
Formula
a(n) = (n + 3)/2 if n is odd.
a(n) = (n + 10)/2 if n is even and n >= 4.
a(n) = a(n-2) + 1 for n >= 5.