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Search: id:A076036
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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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+0
11
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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
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OFFSET
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0,2
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FORMULA
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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
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CROSSREFS
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Cf. A000108, A000984, A007854, A076035.
Sequence in context: A094167 A052934 A136785 this_sequence A006773 A059273 A038744
Adjacent sequences: A076033 A076034 A076035 this_sequence A076037 A076038 A076039
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KEYWORD
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nonn
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AUTHOR
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njas, Oct 29 2002
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