47040

Appears in sequences

• Number of labeled trees of diameter 4 with n nodes.at n=3A000555
• Expansion of e.g.f. sin(exp(x)-sec(x)).at n=10A013328
• Triangle giving number of labeled trees with n >= 3 nodes and diameter d >= 2.at n=17A034854
• a(n) = n*(n-1)*(n-2)^2.at n=14A047927
• Numbers k such that sigma(prime(k) - 1) == 0 (mod k).at n=34A067758
• 1/24 the number of colorings of a 3 X 3 octagonal array with n colors.at n=3A068250
• Triangle formed by multiplying Stirling numbers of 2nd kind S2(n,m) (A008277) by m+1.at n=51A069138
• Least number m such that cardinality of InvPhi(m) = prime(n).at n=36A071389
• Seventh column of triangle A075497.at n=3A075512
• a(n) = (2/3)*(2*n+1)*(2*n-1)!*binomial(3*n,2*n).at n=2A081321
• Triangle, read by rows, where the antidiagonals are formed by interleaving the rows of triangle A102098 with the rows of its matrix square (A102920).at n=39A102916
• Triangular matrix, read by rows, equal to the matrix square of A102098.at n=18A102920
• a(n) = Fibonacci(n)*n^2*(binomial(2*n, n))^2/(n+1).at n=4A119695
• Triangle of coefficients of q in e.g.f. that satisfies: A(x,q) = exp( q*x*A(q*x,q) ), read by rows of [n*(n-1)/2 + 1] terms in row n for n>=0.at n=89A126265
• A certain partition array in Abramowitz-Stegun (A-St) order.at n=36A134149
• A PolyLog functional polynomial coefficient triangular sequence: p(x,n)=(-1)^(n + 1)*(4*x + x^2)^(n + 1)*PolyLog[ -n, 1 + 4*x + x^2]/(1 + 4*x + x^2).at n=28A142146
• Partition number array, called M31(4), related to A049352(n,m)= |S1(4;n,m)| (generalized Stirling triangle).at n=30A144354
• A partition product of Stirling_1 type [parameter k = -4] with biggest-part statistic (triangle read by rows).at n=26A157384
• Number of spanning trees in G X P_n, where G = {{1, 2}, {1, 3}, {1, 4}, {1, 5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}}.at n=1A167061
• Triangle of numerators of coefficients of the polynomial Q^(2)_m(n) defined by the recursion Q^(2)_0(n)=1; for m>=1, Q^(2)_m(n) = Sum_{i=1..n} i^2*Q^(2)_(m-1)(i). For m>=0, the denominator for all 3*m+1 terms of the m-th row is A202367(m+1).at n=23A175669