-119

Appears in sequences

• G.f.: Product_{k>0} (1-x^(5k-1))*(1-x^(5k-4))/((1-x^(5k-2))*(1-x^(5k-3))).at n=61A007325
• Zeroth row of infinite Latin square heading to -oo.at n=47A019585
• a(n) = 3^n - n^7.at n=2A024030
• Solutions t to the equation s*prime(n) + t*prime(n+1) = 1 with |s| as small as possible.at n=51A045893
• Matrix 8th power of inverse partition triangle A038498.at n=57A050311
• Triangle of numbers (when unsigned) related to congruum problem: T(n,k)=k^2+2nk-n^2 with n>k>0 and starting at T(2,1)=1.at n=55A057105
• a(n) = + 1 - 2 - 3 + 4 + 5 + 6 - 7 - 8 - 9 - 10 + 11 + 12 + 13 + 14 + 15 - ... + (+-1)*n, where there is one plus, two minuses, three pluses, etc. (see A002024).at n=57A064520
• Real part of (5 + 12i)^n.at n=2A067359
• Expansion of (1-x)^(-1)/(1-x+x^2+2*x^3).at n=12A077873
• Expansion of (1-x)^(-1)/(1+2*x^2-x^3).at n=13A077892
• a(n) = (n+1)*(2-n)/2.at n=16A080956
• a(n) = 1/2 + (1-6*n)*(-1)^n/2.at n=40A084060
• Triangle of nonzero coefficients of the Airy zeta functions expressed as polynomials of X = 3^(5/6)Gamma(2/3)^2/(2Pi).at n=20A096631
• a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=1 if sigma(i+j) is even, 0 otherwise.at n=17A096734
• Triangle of coefficients, read by row polynomials P_n(y), that satisfy the g.f.: A038497(x,y) = Product_{n>=1} 1/(1-x^n)^[P_n(y)/n], with P_n(0)=0 for n>=1 and P_0(0)=1.at n=22A096797
• a(n) = Sum_{k|n} k!*mu(k), where mu() is the Moebius function.at n=24A099740
• a(n) = Sum_{k|n} k!*mu(k), where mu() is the Moebius function.at n=4A099740
• Matrix inverse of triangle A104505, which is the right-hand side of triangle A084610 of coefficients in (1 + x - x^2)^n.at n=31A104509
• Expansion of 1/(1 - x + 4*x^2).at n=7A106853
• G.f. (x-1)*(x^2+1)*(x^7-x^6+x^4+x^3-2*x^2-x-1)/((x^2-x+1)*(x^6-x^3+1)*(x+1)^2).at n=67A108057