Weierstrass Elliptic and Modular Functions - 23.9 Laurent and Other Power Series

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
23.9.E5	${\displaystyle{\displaystyle c_{n}=\frac{3}{(2n+1)(n-3)}\sum_{m=2}^{n-2}c_{m}c_{n-m}}}$ c_{n} = \frac{3}{(2n+1)(n-3)}\sum_{m=2}^{n-2}c_{m}c_{n-m}	${\displaystyle{\displaystyle n\geq 4}}$	c[n] = (3)/((2*n + 1)*(n - 3))*sum(c[m]*c[n - m], m = 2..n - 2)	Subscript[c, n] == Divide[3,(2*n + 1)*(n - 3)]*Sum[Subscript[c, m]*Subscript[c, n - m], {m, 2, n - 2}, GenerateConditions->None]	Skipped - no semantic math	Skipped - no semantic math	-	-
23.9.E8	${\displaystyle{\displaystyle a_{m,n}=3(m+1)a_{m+1,n-1}+\tfrac{16}{3}(n+1)a_{m-2,n+1}-\tfrac{1}{3}(2m+3n-1)(4m+6n-1)a_{m-1,n}}}$ a_{m,n} = 3(m+1)a_{m+1,n-1}+\tfrac{16}{3}(n+1)a_{m-2,n+1}-\tfrac{1}{3}(2m+3n-1)(4m+6n-1)a_{m-1,n}		a[m , n] = 3*(m + 1)*a[m + 1 , n - 1]+(16)/(3)*(n + 1)*a[m - 2 , n + 1]-(1)/(3)*(2*m + 3*n - 1)*(4*m + 6*n - 1)*a[m - 1 , n]	Subscript[a, m , n] == 3*(m + 1)*Subscript[a, m + 1 , n - 1]+Divide[16,3]*(n + 1)*Subscript[a, m - 2 , n + 1]-Divide[1,3]*(2*m + 3*n - 1)*(4*m + 6*n - 1)*Subscript[a, m - 1 , n]	Skipped - no semantic math	Skipped - no semantic math	-	-