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<DIV>This sequence has a formula a(n) = (e-1)*n + f(n) where A < f(n) < 0 ( with A > -4 ). However, this is not correct. If k is the largest value such that k!|n, a(n) - a(n-1) = k. Then if f(n) < 0, f(n-1) < -k + e - 1, so f is unbounded in the negative direction.</DIV>
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<DIV>The assertion that f(n) < 0 is clearly correct, since (e-1)*n = sum_{k=1}^{infinity} n/k! is term for term >= this sequence.</DIV>
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<DIV>Franklin T. Adams-Watters<BR>16 W. Michigan Ave.<BR>Palatine, IL 60067<BR>847-776-7645</DIV>
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