A triangular sequence of coefficients of an expansion of a Mach wave as a traveling wave in a medium: (vt')^2 = vp*vg = c^2 - (gamma-1)/(gamma+1)*vt^2; Substituting: vt -> exp(t*x); gamma->t; c->1; p(x,t) = 1 - exp(2*x*t)*(t - 1)/(1 + t).
A138024
A triangular sequence of coefficients of an expansion of a Mach wave as a traveling wave in a medium: (vt')^2 = vp*vg = c^2 - (gamma-1)/(gamma+1)*vt^2; Substituting: vt -> exp(t*x); gamma->t; c->1; p(x,t) = 1 - exp(2*x*t)*(t - 1)/(1 + t).
Terms
- a(0) =1a(1) =-1a(2) =1a(3) =2a(4) =-4a(5) =2a(6) =-6a(7) =12a(8) =-12a(9) =4a(10) =24a(11) =-48a(12) =48a(13) =-32a(14) =8a(15) =-120a(16) =240a(17) =-240a(18) =160a(19) =-80a(20) =16a(21) =720a(22) =-1440a(23) =1440a(24) =-960a(25) =480a(26) =-192a(27) =32a(28) =-5040a(29) =10080
External references
- oeis: A138024