1693440

Appears in sequences

• Lah numbers: a(n) = n!*binomial(n-1,2)/6.at n=8A001754
• Largest number in n-th row of triangle of Lah numbers (A008297 and A271703).at n=9A002868
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial. Rising powers of x.at n=42A048998
• Triangle giving coefficients of (n+1)!*B_n(x), where B_n(x) is a Bernoulli polynomial, ordered by falling powers of x.at n=38A048999
• Number of strongly triple-free subsets of {1, 2, ..., n}.at n=27A050295
• Expansion of e.g.f. (1-x)/(1-x-2*x^2+x^3).at n=8A052672
• E.g.f.: (1-2x-sqrt(1-4*x))*x^2/2.at n=8A052732
• E.g.f.: x^2*(1-sqrt(1-4*x))/2.at n=8A052733
• Fourth (unsigned) column sequence of triangle A062139 (generalized a=2 Laguerre).at n=5A062193
• Coefficient triangle of generalized Laguerre polynomials (a=1).at n=38A066667
• Triangular array A066667 or A008297 unsigned and transposed.at n=42A089231
• Generalized Stirling2 array (4,2).at n=19A090438
• Triangle read by rows: T(n,k) = binomial(n,k)*(n-1)!/(k-1)!.at n=38A105278
• The matrix inverse of the unsigned Lah numbers A271703.at n=48A111596
• Triangle of the coefficient [x^k] of the polynomial 2^n*s_n(x) generated by exp(x*(1 - sqrt(1+t^2))/t) = Sum_{n>=0} s_n(x)*t^k/k! in row n, column k.at n=48A137378
• A triangular sequence based on expansion of the rational polynomial of A001788 as a Sheffer sequence: p(x,t)=Exp[x*t]*(-1/(2*t - 1)^3).at n=30A138192
• If (a_n) is a sequence then let L(a_n)=(b_n) where b_n = a_n^2 - a_{n-1} a_{n+1}. The given sequence is the rows of the triangle obtained by computing L^2(binomial(n,k)).at n=41A140982
• Coefficient triangle of the numerators of the (n-th convergents to) the continued fraction w/(1 + w/(2 + w/(3 + w/(...)))).at n=44A180047
• E.g.f. 1/(1-sin(x)^3).at n=10A191688
• Table read by rows: The coefficients of the polynomials P(n, x) = Sum_{k=0..n} Sum_{j=0..k} (-1)^j * 2^(-k) * binomial(k, j) * (k-2*j)^n * x^(n-k).at n=59A193474