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Search: id:A066843
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| A066843 |
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Product{k=1 to n} d(k); d(k) is the number of positive divisors of k. |
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+0
2
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| 1, 2, 4, 12, 24, 96, 192, 768, 2304, 9216, 18432, 110592, 221184, 884736, 3538944, 17694720, 35389440, 212336640, 424673280, 2548039680, 10192158720, 40768634880, 81537269760, 652298158080, 1956894474240, 7827577896960
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Leroy Quet, Home Page (listed in lieu of email address)
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FORMULA
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a(n) = product{p=primes<=n} product{1<=k<=log(n)/log(p)} (1 +1/k)^floor(n/p^k). - Leroy Quet Mar 20 2007
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MAPLE
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with(numtheory):seq(mul(tau(k), k=1..n), n=1..26); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jan 11 2009]
with(numtheory):a[1]:=1: for n from 2 to 26 do a[n]:=a[n-1]*tau(n) od: seq(a[n], n=1..26); # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Mar 21 2009]
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CROSSREFS
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Sequence in context: A062177 A129643 A096421 this_sequence A051905 A051426 A048148
Adjacent sequences: A066840 A066841 A066842 this_sequence A066844 A066845 A066846
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KEYWORD
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nonn
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AUTHOR
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Leroy Quet Jan 20 2002
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