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A049299
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a(0) = 1, a(n) = product{k = 0 to n-1}[ a(k)+a(n-k) ].
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0
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OFFSET
| 1,2
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FORMULA
| lim_{m -> oo} log(a[m+1])/log(a[m]) exists and equals 3. - Roland Bacher (Roland.Bacher(AT)ujf-grenoble.fr), Sep 06 2004.
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EXAMPLE
| a(3)=400 because 400=(1+9)*(2+2)*(9+1).
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CROSSREFS
| Cf. A000108 (Catalan numbers) where a(0) = 1, a(n) = sum{k = 0 to n-1}[ a(k)*a(n-k) ], A000012 (constant 1) where a(0) = 1, a(n) = product{k = 0 to n-1}[ a(k)*a(n-k) ] and A025192 (2*3^(n-1)) where a(0) = 1, a(n) = sum{k = 0 to n-1}[ a(k)+a(n-k) ] - Henry Bottomley (se16(AT)btinternet.com), May 16 2000
Sequence in context: A013169 A012991 A003818 * A024225 A000883 A086693
Adjacent sequences: A049296 A049297 A049298 * A049300 A049301 A049302
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KEYWORD
| easy,nonn
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AUTHOR
| Leroy Quet
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