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Search: id:A063902
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| A063902 |
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a(n+1) = sum{j = 0,...n}[C(2n,2j)a(j)a(n-j)] with a(0) = 1. |
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+0
1
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| 1, 1, 2, 10, 80, 1000, 17600, 418000, 12848000, 496672000, 23576960000, 1348404640000, 91442700800000, 7255463564800000, 665885747225600000
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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a(3) = 1*a(0)a(2)+6*a(1)a(1)+1*a(2)a(0) = 2+6+2 = 10.
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CROSSREFS
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a(n+1) = sum[C(n, j)a(j)a(n-j)] would give factorials A000142, a(n+1) = sum[C(2n, 2j)a(j)a(n-j)]/a(n) would give Catalan numbers A000108, a(n+1) = sum[C(n, j)a(j)a(n-j)]/a(n) would give central binomials A001405.
Sequence in context: A133480 A008544 A064312 this_sequence A088351 A062396 A112487
Adjacent sequences: A063899 A063900 A063901 this_sequence A063903 A063904 A063905
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Aug 30 2001
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