114576

Appears in sequences

• Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=15A002444
• Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=30A002790
• Denominators of Cauchy numbers of first type.at n=30A006233
• Least common multiple of all (k+1)'s, where the k's are the positive divisors of n.at n=29A057643
• Triangle T(n,k) = d(n-k,n), 0 <= k <= n, where d(l,m) = Sum_{k=l..m} 2^k * binomial(2*m-2*k, m-k) * binomial(m+k, m) * binomial(k, l).at n=18A067001
• One half of A075178.at n=30A075179
• Coefficients of a polynomial representation of the integral of 1/(x^4 + 2*a*x^2 + 1)^(n+1) from x = 0 to infinity.at n=17A126936
• Denominators of a-sequence for Sheffer matrix A130191 (Stirling2 squared).at n=30A130409
• Triangle T(n,m) read by rows, obtained from [A(x)]^m = Sum_{n>=m} T(n,m)*x^n, where A(x) (the g.f. for A069271) satisfies 2*x^2*A(x)^3 = 1 - 2*x*A(x) - sqrt(1-4*x*A(x)).at n=72A188108
• 25-gonal pyramidal numbers: a(n) = n*(n+1)*(23*n-20)/6.at n=31A256645
• T(n,k) = 1/k! * Sum_{i=0..k} (-1)^(k-i) *C(k,i) * A258219(n,i); triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=41A258220
• Denominator of generalized Bernoulli number B_n^{(n-1)}.at n=28A260329
• a(n) = 3*(9*n - 1)*(3*n - 2).at n=38A277985
• Denominators of the z-sequence for the Sheffer matrix S2*P = A048993*A007318 = A049020.at n=30A288868
• T(n,k) = Sum_{j=1..n} 2^j*binomial(2*n-2*j, n-j)*binomial(n+j, n)*binomial(j, k), triangle read by rows (n >= 0 and 0 <= k <= n).at n=17A335183
• Place two n-gons with radii 1 and 2 concentrically, forming an annular area between them. Connect all the vertices with line segments that lie entirely within that area. Then a(n) is the number of regions in that figure.at n=41A337700