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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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1
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1, 1, 2, 5, 17, 64, 268, 1236, 6286, 35031, 212401, 1392489, 9817398, 74078419, 595722994, 5086611025, 45961503660, 438168680119, 4395396953168, 46281082011630
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Floor(sum (prod(n))/(Prod(sum (n)). Asymptotic formula?
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FORMULA
| Floor[A000178(n)^(1/n)]
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EXAMPLE
| 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
| 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
| Cf. A090901.
Sequence in context: A148416 A003456 A109084 * A150012 A150013 A123166
Adjacent sequences: A090899 A090900 A090901 * A090903 A090904 A090905
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KEYWORD
| nonn
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AUTHOR
| Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Dec 12 2003
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EXTENSIONS
| More terms from Ryan Propper (rpropper(AT)stanford.edu), Jun 18 2005
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