Combinatorial Analysis - 26.13 Permutations: Cycle Notation

DLMF	Formula	Constraints	Maple	Mathematica	Symbolic Maple	Symbolic Mathematica	Numeric Maple	Numeric Mathematica
26.13.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle d(n) = n!\sum_{j=0}^{n}(-1)^{j}\frac{1}{j!}} d(n) = n!\sum_{j=0}^{n}(-1)^{j}\frac{1}{j!}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	d(n) = factorial(n)*sum((- 1)^(j)*(1)/(factorial(j)), j = 0..n)	d[n] == (n)!*Sum[(- 1)^(j)*Divide[1,(j)!], {j, 0, n}, GenerateConditions->None]	Failure	Failure	Failed [29 / 30] Result: .8660254040+.5000000000*I Test Values: {d = 1/2*3^(1/2)+1/2*I, n = 1} Result: .7320508081+1.*I Test Values: {d = 1/2*3^(1/2)+1/2*I, n = 2} ... skip entries to safe data	Failed [29 / 30] Result: Complex[0.8660254037844387, 0.49999999999999994] Test Values: {Rule[d, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[n, 1]} Result: Complex[0.7320508075688774, 0.9999999999999999] Test Values: {Rule[d, Power[E, Times[Complex[0, Rational[1, 6]], Pi]]], Rule[n, 2]} ... skip entries to safe data
26.13.E4	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n!\sum_{j=0}^{n}(-1)^{j}\frac{1}{j!} = \floor{\frac{n!+\expe-2}{\expe}}} n!\sum_{j=0}^{n}(-1)^{j}\frac{1}{j!} = \floor{\frac{n!+\expe-2}{\expe}}	Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle }	factorial(n)*sum((- 1)^(j)*(1)/(factorial(j)), j = 0..n) = floor((factorial(n)+ exp(1)- 2)/(exp(1)))	(n)!*Sum[(- 1)^(j)*Divide[1,(j)!], {j, 0, n}, GenerateConditions->None] == Floor[Divide[(n)!+ E - 2,E]]	Failure	Failure	Failed [1 / 3] Result: .9999999999 Test Values: {n = 2}	Successful [Tested: 3]