A symmetrical triangle of polynomial coefficients that are von Koch like: b=1/4; p(x, n) = If[Mod[n, 4] == 2, (b*x - n/2)*p(x, n - 1), If[ Mod[n, 4] == 3, (x/2 - b*n + 1/2)*p(x, n - 1), If[ Mod[n, 4] == 0, (-b*x - n/2 + b)*p(x, n - 1), (x/2 + b*n)*p(x, n - 1)]]]; q(x,n)=(p(x,n)+x^n*(p(1/x,n))/b^n.
A155688
A symmetrical triangle of polynomial coefficients that are von Koch like: b=1/4; p(x, n) = If[Mod[n, 4] == 2, (b*x - n/2)*p(x, n - 1), If[ Mod[n, 4] == 3, (x/2 - b*n + 1/2)*p(x, n - 1), If[ Mod[n, 4] == 0, (-b*x - n/2 + b)*p(x, n - 1), (x/2 + b*n)*p(x, n - 1)]]]; q(x,n)=(p(x,n)+x^n*(p(1/x,n))/b^n.
Terms
- a(0) =2a(1) =3a(2) =3a(3) =-2a(4) =-14a(5) =-2a(6) =8a(7) =-17a(8) =-17a(9) =8a(10) =-32a(11) =-9a(12) =226a(13) =-9a(14) =-32a(15) =-148a(16) =-85a(17) =737a(18) =737a(19) =-85a(20) =-148a(21) =1672a(22) =404a(23) =-6199a(24) =-2842a(25) =-6199a(26) =404a(27) =1672a(28) =-8416a(29) =1744
External references
- oeis: A155688