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variants of this functions
Factorial






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Factorial[n] > Summation > Infinite summation > Parameter-containing sums





http://functions.wolfram.com/06.01.23.0036.01









  


  










Input Form





Sum[((-1)^k k!^2)/(k + 2 n)!^2, {k, 0, Infinity}] == Sum[((-16)^j (4 - 5 n + 5 j) (2 n - 2 j - 1)! (n - 1)!^2)/ ((1 - n + j) (1 - 2 n + 2 j)^2 (2 n - 1)!^3 (n - 1 - j)!^2), {j, 0, n - 2}] + ((n!^2 -1 (-16)^n) (3 - 4 Log[2]))/ (4 (2 n - 1)! (2 n)!^2) /; Element[n, Integers] && n > 0










Standard Form





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MathML Form







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Rule Form





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Contributed by





Troy Kessler










Date Added to functions.wolfram.com (modification date)





2007-05-02





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