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A076036
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G.f.: 1/(1-5*x*C) where C = (1/2-1/2*(1-4*x)^(1/2))/x = g.f. for Catalan numbers A000108.
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10
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1, 5, 30, 185, 1150, 7170, 44760, 279585, 1746870, 10916150, 68219860, 426353130, 2664633580, 16653699860, 104084695500, 650526003825, 4065775405350, 25411052086350, 158818913483700, 992617612224750, 6203857867325700, 38774103465635100, 242338116077385600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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FORMULA
| a(n) = Sum_{k, 0<=k<=n} A106566(n, k)*5^k . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 01 2005
a(n)= Sum{k, 0<=k<=n}A039599(n,k)*4^k. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 08 2007
a(0)=1, a(n)=(25*a(n-1)-5*A000108(n-1))/4 for n>=1 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 27 2007
a(n)= Sum_{k, 0<=k<=n} A116395(n,k)*3^k. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 27 2009]
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CROSSREFS
| Cf. A000108, A000984, A007854, A076035.
Sequence in context: A136785 A155195 A147837 * A195257 A161407 A006773
Adjacent sequences: A076033 A076034 A076035 * A076037 A076038 A076039
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Oct 29 2002
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