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A216704 a(n) = Product_{k=1..n} (64 - 8/k). 7
1, 56, 3360, 206080, 12776960, 797282304, 49963024384, 3140532961280, 197853576560640, 12486759054049280, 789163172215914496, 49932506169297862656, 3162392057388864634880, 200447004252955727626240, 12714067126901763295150080, 806919460320698577132191744 (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
MAPLE
seq(product(64-8/k, k=1.. n), n=0..20);
seq((8^n/n!)*product(8*k+7, k=0.. n-1), n=0..20);
MATHEMATICA
Table[Product[64-8/k, {k, n}], {n, 0, 20}] (* Harvey P. Dale, Sep 23 2017 *)
CROSSREFS
Sequence in context: A042513 A264941 A358115 * A278724 A277770 A239816
KEYWORD
nonn
AUTHOR
Michel Lagneau, Sep 16 2012
STATUS
approved

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Last modified March 28 12:26 EDT 2024. Contains 371254 sequences. (Running on oeis4.)