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 A216706 a(n) = Product_{k=1..n} (100 - 10/k). 3
 1, 90, 8550, 826500, 80583750, 7897207500, 776558737500, 76546504125000, 7558967282343750, 747497875698437500, 74002289694145312500, 7332954160601671875000, 727184620926332460937500, 72159089307305298046875000, 7164366724082454591796875000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS This sequence is generalizable: Product_{k=1..n} (q^2 - q/k) = (q^n/n!) * Product_{k=0..n-1} (q*k + q-1) = expansion of (1- x*q^2)^((1-q)/q). LINKS Table of n, a(n) for n=0..14. MAPLE seq(product(100-10/k, k=1.. n), n=0..20); seq((10^n/n!)*product(10*k+9, k=0.. n-1), n=0..20); CROSSREFS Cf. A004988, A049382, A004994, A216702, A216703, A216704, A216705. Sequence in context: A089513 A239044 A112004 * A166822 A166804 A116273 Adjacent sequences: A216703 A216704 A216705 * A216707 A216708 A216709 KEYWORD nonn AUTHOR Michel Lagneau, Sep 16 2012 STATUS approved

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Last modified May 17 23:39 EDT 2024. Contains 372608 sequences. (Running on oeis4.)