Let y=f(x) satisfy F(x,y)=0. a(n) is the number of terms in the expansion of (d/dx)^n y in terms of the partial derivatives of F.
A003262
Let y=f(x) satisfy F(x,y)=0. a(n) is the number of terms in the expansion of (d/dx)^n y in terms of the partial derivatives of F.
Terms
- a(0) =1a(1) =3a(2) =9a(3) =24a(4) =61a(5) =145a(6) =333a(7) =732a(8) =1565a(9) =3247a(10) =6583a(11) =13047a(12) =25379a(13) =48477a(14) =91159a(15) =168883a(16) =308736a(17) =557335a(18) =994638a(19) =1755909a(20) =3068960a(21) =5313318a(22) =9118049a(23) =15516710a(24) =26198568a(25) =43904123a(26) =73056724a(27) =120750102a(28) =198304922a(29) =323685343
External references
- oeis: A003262