-1764

Appears in sequences

• Triangle read by rows of Stirling numbers of first kind, s(n,k), n >= 1, 1 <= k <= n.at n=22A008275
• Triangle of Stirling numbers of first kind, s(n, n-k+1), n >= 1, 1 <= k <= n. Also triangle T(n,k) giving coefficients in expansion of n!*binomial(x,n)/x in powers of x.at n=26A008276
• Expansion of e.g.f.: sin(log(1+x)*exp(x)).at n=8A009464
• Expansion of Product_{k>=1} (1 - x^k)^9.at n=25A010817
• Expansion of (eta(q) / eta(q^7))^4 in powers of q.at n=43A030181
• Triangle of Stirling numbers of first kind, s(n,k), n >= 0, 0 <= k <= n.at n=30A048994
• McKay-Thompson series of class 7B for the Monster group.at n=43A052240
• Triangle of Stirling numbers of 1st kind, S(n, n-k), n >= 0, 0 <= k <= n.at n=33A054654
• Low-temperature magnetization expansion for honeycomb net (Potts model, q=3).at n=8A057390
• Determinant of n X n matrix defined by m(i,j)=1 if i^2+j^2 is a prime, m(i,j)=0 otherwise.at n=34A071524
• Signed Stirling numbers of the first kind.at n=6A081048
• Triangle, read by rows, where T(n,k) = A008275(k+1,n-k+1) are Stirling numbers of the first kind.at n=60A104416
• G.f. satisfies: A(x) = 1 + ( x/A(x) )/A( x/A(x) ).at n=6A107588
• The result of the integration Integral_{t=0..oo} -rho*exp(-rho*s*t)*t^j*s*log(1+t) dt can be written as (F(u,j)*exp(u)*Ei(1,u) + G(u,j))/u^j, where rho>0, s>0, and u=rho*s. Sequence is the regular triangle corresponding to G(u,j).at n=20A121922
• Triangle T(n,k), 0<=k<=n, read by rows given by [ -1,1,-1,1,-1,1,-1,1,-1,1,...] DELTA [1,-1,1,-1,1,-1,1,-1,1,-1,...] where DELTA is the operator defined in A084938.at n=49A123254
• A129065 with v=n instead of v=1: recursive polynomial coefficient triangle.at n=31A136453
• Triangle T(n, k) = n! * binomial(n, k)*( psi(n-k+1) - psi(k+1) ), read by rows.at n=27A157521
• Triangle T(n, k) = n! * (Harmonic number(n-k) - Harmonic number(k)), read by rows.at n=27A157525
• a(n) = -(-1)^n * n^2.at n=41A162395
• Coefficient table of numerator polynomials of o.g.f.s for partial sums of powers of positive integers.at n=20A196837