Binomial variation of the Catalan numbers: a(n) = sum( binomial(n-1-i, i)*a(i)*a(n-1-i), i=0..(n-1) ) with a(0)=1.
A188478
Binomial variation of the Catalan numbers: a(n) = sum( binomial(n-1-i, i)*a(i)*a(n-1-i), i=0..(n-1) ) with a(0)=1.
Terms
- a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =11a(6) =33a(7) =116a(8) =456a(9) =1999a(10) =9623a(11) =50603a(12) =288287a(13) =1769352a(14) =11636669a(15) =81652911a(16) =608857325a(17) =4807873069a(18) =40080193414a(19) =351751992542
External references
- oeis: A188478