|
Search: id:A049299
|
|
|
| A049299 |
|
a(0) = 1, a(n) = product{k = 0 to n-1}[ a(k)+a(n-k) ]. |
|
+0
1
|
| |
|
|
OFFSET
|
1,2
|
|
|
LINKS
|
Leroy Quet, Home Page (listed in lieu of email address)
|
|
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.
|
|
EXAMPLE
|
a(3)=400 because 400=(1+9)*(2+2)*(9+1).
|
|
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 this_sequence A024225 A000883 A086693
Adjacent sequences: A049296 A049297 A049298 this_sequence A049300 A049301 A049302
|
|
KEYWORD
|
easy,nonn
|
|
AUTHOR
|
Leroy Quet
|
|
|
Search completed in 0.002 seconds
|
