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Search: id:A107251
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| A107251 |
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Supercatalan numbers SF(2n)/(SF(n)*SF(n+1)) where SF is the superfactorial function A000178. |
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+0
2
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| 1, 1, 12, 7200, 508032000, 7742895390720000, 40797452088662556672000000, 108985983996792124183843071590400000000, 203800994173724454677862841368011757060096000000000000
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) =(n+2)!*(n+3)!*...*(2n)!/(2!*3!*...*n!) =A000178(2n)/(A000178(n)*A000178(n+1)) =A079478(n)/A000142(n+1).
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EXAMPLE
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a(3) = 1!*2!*3!*4!*5!*6!/(1!*2!*3!*1!*2!*3!*4!) = 24883200/(12*288) = 7200.
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MAPLE
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seq(mul(mul(k+j, j=1..n), k=2..n), n=0..8); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Jun 01 2007
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CROSSREFS
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Cf. A000108 for original Catalan numbers (2n)!/(n!*(n+1)!).
Sequence in context: A094268 A012607 A167072 this_sequence A009173 A012531 A013481
Adjacent sequences: A107248 A107249 A107250 this_sequence A107252 A107253 A107254
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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), May 14 2005
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