97297200

Appears in sequences

• a(n) = (2n+1)! / 2^n.at n=6A007019
• Expand cos x / exp x and invert nonzero coefficients.at n=13A007452
• Denominators of Taylor series for exp(x)*sin(x).at n=13A046979
• Denominators of Taylor series for exp(x)*cos(x).at n=13A046981
• Denominators for computation of column sequences of triangle A071951 (Legendre-Stirling).at n=6A089500
• a(n) = n! / 2^floor(n/2).at n=13A090932
• Denominators of coefficients in the series for inverf(2x/sqrt(Pi)).at n=6A092677
• A vector sequence with set row sum function: row(n)=(2*n)!/n! and linear build up and decline function: f(n,m)=Floor[(m/n)*row(n)].at n=39A152971
• A vector sequence with set row sum function: row(n)=(2*n)!/n! and linear build up and decline function: f(n,m)=Floor[(m/n)*row(n)].at n=41A152971
• Triangle T(n,k) read by rows: number of k-lists (ordered k-sets) of disjoint 2-subsets of an n-set, n>1, 0<k<=floor(n/2).at n=41A157018
• Triangular array read by rows: [T(n,k),k=1..tau(n)] = [-n!/(d*(-(n/d)!)^d), d|n].at n=39A182928
• Expansion of e.g.f. 2*arctan(1+x) - Pi/2.at n=13A217260
• Greatest 6th-power-free divisor of n!.at n=12A248772
• T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to at least one horizontal neighbor and the top left element equal to 0.at n=51A267724
• Regular triangle whose rows are the coefficients of the Dominici expansion of f(t,x) = (1/2)*(1 - t^2)^(-x) with respect to t.at n=27A320842
• a(n) = (2*n-1)! / 2^(n-1) if n > 0 and a(0) = 1.at n=7A327021
• T(n, k) = (1/n) * Sum_{d|n} phi(d) * A241171(n/d, k) for n >= 1, T(0, k) = 0^k. Triangle read by rows for 0 <= k <= n.at n=34A327027
• T(n, k) = (1/n) * Sum_{d|n} phi(d) * A241171(n/d, k) for n >= 1, T(0, k) = 0^k. Triangle read by rows for 0 <= k <= n.at n=35A327027
• Denominator of the coefficient of x^(2n+1) in the Taylor series expansion of sin(sin(x)).at n=6A359554
• Number of distinct permutations of the terms of the n-th row of Pascal's triangle with alternating signs.at n=12A377825