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A248685
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Decimal expansion of r = sum{(floor(n/5)!)^5/n!, n >= 0}.
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4
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2, 7, 1, 8, 2, 9, 1, 2, 2, 4, 2, 3, 9, 0, 5, 7, 3, 5, 4, 9, 9, 9, 2, 3, 6, 6, 9, 6, 8, 5, 8, 6, 5, 3, 7, 4, 9, 7, 8, 5, 2, 7, 3, 8, 7, 5, 9, 3, 5, 3, 5, 5, 7, 3, 1, 0, 3, 5, 4, 8, 0, 2, 5, 8, 5, 2, 4, 8, 6, 7, 0, 4, 8, 1, 6, 0, 6, 6, 5, 8, 2, 0, 8, 7, 2, 9
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OFFSET
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1,1
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LINKS
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FORMULA
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r = sum{(n!^5)*p(5,n)/(5*n + 4)!, n >= 0}, where p(k,n) is defined at A248664.
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EXAMPLE
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r = 2.71829122423905735499923669685865...
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MATHEMATICA
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x = N[Sum[(Floor[n/2])!^2/n!, {n, 0, 200}], 120]
x = N[Sum[(Floor[n/3])!^3/n!, {n, 0, 200}], 120]
x = N[Sum[(Floor[n/4])!^4/n!, {n, 0, 200}], 120]
x = N[Sum[(Floor[n/5])!^5/n!, {n, 0, 200}], 120]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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