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Search: id:A090902
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| A090902 |
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Floor[(product of first n triangular numbers)/(sum of first n factorials)]. |
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+0
2
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| 1, 1, 2, 5, 17, 64, 268, 1236, 6286, 35031, 212401, 1392489, 9817398, 74078419, 595722994, 5086611025, 45961503660, 438168680119, 4395396953168, 46281082011630
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OFFSET
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1,3
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COMMENT
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Floor(sum (prod(n))/(Prod(sum (n)). Asymptotic formula?
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FORMULA
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Floor[A000178(n)^(1/n)]
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EXAMPLE
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a(4) = Floor[{(1)*(1+2)*(1+2+3)*(1+2+3+4)}/{(1)+(1*2)+(1*2*3)+(1*2*3*4)}]= 5.
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MATHEMATICA
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Do[Print[Floor[ Product[k*(k+1)/2, {k, 1, n}] / Sum[k!, {k, 1, n}] ]], {n, 1, 20}] (Propper)
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CROSSREFS
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Cf. A090901.
Adjacent sequences: A090899 A090900 A090901 this_sequence A090903 A090904 A090905
Sequence in context: A112832 A003456 A109084 this_sequence A123166 A052539 A008932
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 12 2003
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EXTENSIONS
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More terms from Ryan Propper (rpropper(AT)stanford.edu), Jun 18 2005
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