107604

Appears in sequences

• a(n) = n*(2*n+5)*(2*n+7).at n=28A035329
• Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=33A057370
• Nonsquare numbers whose sum of proper square divisors is a square greater than 1.at n=36A232555
• Coefficients of 1/(Sum_{k>=0} [(k+1)*r]*(-x)^k), where r = sqrt(5/2) and [ ] = floor.at n=17A288230
• Coefficients in the expansion of 1/([r]-[2r]x+[3r]x^2-...); [ ]=floor, r=11/7.at n=17A289262
• The nome q=exp(T_C/T_R)=Sum_{n>=0} a(n)*(x/432)^n follows from the series solutions of 5*T-d/dx(36*(1-x)*x*dT/dx)=0.at n=3A308837
• Expansion of e.g.f. S(x,k) satisfying S(x,k) = sin( x*cos(k*x*sqrt(1 - S(x,k)^2)) ), as a triangle read by rows.at n=13A370331
• Expansion of e.g.f. T(x,k) satisfying T(x,k) = (1/k) * sin( k*x*cos(x*sqrt(1 - k^2*T(x,k)^2)) ), as a triangle read by rows.at n=11A370333
• Expansion of e.g.f. S(x,k) satisfying S(x,k) = sinh( x*cosh(k*x*sqrt(1 + S(x,k)^2)) ), as a triangle read by rows.at n=13A370431
• Expansion of e.g.f. T(x,k) satisfying T(x,k) = (1/k) * sinh( k*x*cosh(x*sqrt(1 + k^2*T(x,k)^2)) ), as a triangle read by rows.at n=11A370433