183040

Appears in sequences

• Denominators of coefficients of Green function for cubic lattice.at n=8A003283
• a(n) = 2^n * C(n+1), where C(n) = A000108(n) Catalan numbers.at n=7A003645
• a(n) = (n+1)*binomial(n+1,7).at n=9A027767
• a(n) = (n+1)*binomial(n+1, 9).at n=7A027769
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in increasing order).at n=40A053124
• Triangle of coefficients of Chebyshev's U(n,2*x-1) polynomials (exponents of x in decreasing order).at n=40A053125
• Fifth column of Lanczos triangle A053125 (decreasing powers).at n=4A054323
• 10-fold convolution of A000302 (powers of 4).at n=4A054340
• Triangle T(n,k) read by rows: related to David G. Cantor's sigma function.at n=62A073165
• Sequence associated with recurrence a(n) = 2*a(n-1) + k*(k+2)*a(n-2).at n=9A080951
• Triangle: row #n has n+1 terms. T(n,m) = 4^m (2n+1)! / ( (2n-2m)! (2m+1)! ).at n=25A085841
• Square array T(n,k) read by antidiagonals: T(n,k) = Product_{1<=i<=j<=k} (n+i+j-1)/(i+j-1).at n=42A102539
• Riordan array (1, x*c(2x)), c(x) the g.f. of A000108.at n=47A110510
• a(n) = binomial(n+3,4)*4^4.at n=9A120054
• Triangle T(n,k), 0 <= k <= n, defined by : T(n,k) = 0 if k < 0, T(0,k) = 0^k, (n+2)*(2*n-2*k+1)*T(n,k) = (2*n+1)*( 4*(2*n-2*k+1)*T(n-1,k-1) + (n+2*k+2)*T(n-1,k) ).at n=35A123382
• Triangular array, read by rows, associated with sums of certain Vandermonde determinants.at n=51A133112
• Riordan array (c(2x)^2,xc(2x)), c(x) the g.f. of A000108.at n=28A167432
• Molecular topological index of the Andrásfai graphs.at n=21A192790
• Triangle read by rows, T(n,k) for 0<=k<=n, generalizes the Motzkin lattice paths with weights of A003645.at n=28A201639
• Number of n X 6 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically.at n=22A208377