Tag
combinatorics

Explore 92 published mathematical tables tagged combinatorics. Each table links numerical data to its mathematical definition, parameter conventions and references.

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T110: Touchard polynomials $T_n$ (41 integral polynomials)
T577: Schur Q-polynomials (40 integral polynomials)
T257: Poincaré polynomials of the finite Coxeter groups (37 integral polynomials)
T580: Z-polynomials of matroids (37 integral polynomials)
T581: Chow polynomials of matroids (37 integral polynomials)
T582: Augmented Chow polynomials of matroids (37 integral polynomials)
T274: Cuckoo hashing thresholds of random $k$-uniform hypergraphs (36 real numbers)
T153: Entropy constants of lattice models (34 real numbers)
T575: Jack polynomials (34 integral polynomials)
T122: Schur polynomials $s_\lambda$ (33 integral polynomials)
T261: Hall–Littlewood polynomials $P_\lambda(x_1,\dots,x_n;t)$ (33 integral polynomials)
T180: Stirling polynomials $S_k(x)$ (31 rational polynomials)
T236: Volumes of the Birkhoff polytopes (30 rational numbers)
T113: Partial Bell polynomials $B_{n,k}$ (28 integral polynomials)
T181: Faulhaber polynomials $F_p(a)$ (25 rational polynomials)
T186: Stirling convolution polynomials $\sigma_n(x)$ (25 rational polynomials)
T654: Low-degree growth constants of finite p-group algebras (25 real numbers)
T579: Kazhdan–Lusztig polynomials of matroids (22 integral polynomials)
T118: Elementary symmetric polynomials $e_k$ (21 integral polynomials)
T123: Abel polynomials $A_n(x;a)$ (21 integral polynomials)
T120: Complete homogeneous symmetric polynomials $h_k$ (18 integral polynomials)
T235: Ehrhart polynomials of the permutohedra (18 rational polynomials)
T245: Ehrhart $h^*$-polynomials of the permutohedra (18 rational polynomials)
T157: Connective constants of lattices (16 real numbers)
T398: Genus-zero Gromov-Witten invariants $N_d$ of the projective plane (14 integers)
T448: Growth constants of the classes of trees (14 real numbers)
T482: Asymptotic amplitudes of the classes of trees (14 real numbers)
T578: Macdonald polynomials (14 integral polynomials)
T528: Wright constants for connected graph enumeration (12 real numbers)
T483: Growth constants of the classes of planar maps (11 real numbers)
T6: Diagonal Ramsey numbers (10 integers)
T156: k-core thresholds of the Erdős–Rényi random graph (10 real numbers)
T264: Carlitz-Riordan $q$-Catalan numbers $C_n(q)$ (9 integral polynomials)
T265: MacMahon $q$-Catalan numbers $\widetilde C_n(q)$ (9 integral polynomials)
T319: Shapiro polynomials $P_n$ (8 integral polynomials)
T320: Complementary Shapiro polynomials $Q_n$ (8 integral polynomials)
T322: Barker polynomials (8 integral polynomials)
T481: Growth constants of the classes of planar graphs (5 real numbers)
T232: Ehrhart polynomials of the Birkhoff polytopes (4 rational polynomials)
T242: Ehrhart $h^*$-polynomials of the Birkhoff polytopes (4 rational polynomials)
T262: $q,t$-Catalan numbers $C_n(q,t)$ (4 integral polynomials)
T484: Growth constants of polyominoes and lattice animals (4 real numbers)
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