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A092426
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Decimal expansion of e^4.
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12
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5, 4, 5, 9, 8, 1, 5, 0, 0, 3, 3, 1, 4, 4, 2, 3, 9, 0, 7, 8, 1, 1, 0, 2, 6, 1, 2, 0, 2, 8, 6, 0, 8, 7, 8, 4, 0, 2, 7, 9, 0, 7, 3, 7, 0, 3, 8, 6, 1, 4, 0, 6, 8, 7, 2, 5, 8, 2, 6, 5, 9, 3, 9, 5, 8, 5, 5, 3, 6, 6, 2, 0, 9, 9, 9, 3, 5, 8, 6, 9, 4, 8, 1, 6, 7, 6, 9, 8, 0, 5, 6, 1, 9, 4, 4, 7, 3, 4, 1, 4
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OFFSET
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2,1
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LINKS
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FORMULA
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e^4 = 45 + 2*Sum_{n >= 0} 4^(n+4)/((n+4)^2*(n+5)^2*n!).
45/e^4 = 1 - 3*Sum_{n >= 0} (-4)^(n+3)*n^2/(n+4)!. (End)
Largest solution to sqrt(log(x)) = log(sqrt(x)), the other solution being x = 1. - Andrea Pinos, Jan 23 2024
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EXAMPLE
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54.598150033144239078110261202860878402790737038614....
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MAPLE
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MATHEMATICA
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PROG
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(PARI) default(realprecision, 20080); x=exp(1)^4/10; for (n=2, 20000, d=floor(x); x=(x-d)*10; write("b092426.txt", n, " ", d)); \\ Harry J. Smith, Jun 22 2009
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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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