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Search: id:A066053
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| 1, 6, 36, 236, 1686, 13028, 108078, 956348, 8976708, 88962160, 927129786, 10125636716, 115543526476, 1373933166848, 16985192456410, 217851008508220, 2893517713599370, 39732264695056772, 563187218351672330
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OFFSET
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0,2
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FORMULA
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a(n) = sum(stirling2(n, k)*(2*k + 2)!/(2*k!*(k + 1)!), k = 0..n), n = 0, 1, ...; E.g.f.: exp(2*exp(x) - 2)*(BesselI(0, 2*exp(x) - 2) + 4*BesselI(0, 2*exp(x) - 2)*(exp(x) - 1) + 4*(exp(x) - 1)*BesselI(1, 2*exp(x) - 2))
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CROSSREFS
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Cf. A002457
Adjacent sequences: A066050 A066051 A066052 this_sequence A066054 A066055 A066056
Sequence in context: A144819 A099252 A057395 this_sequence A153824 A001286 A049431
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KEYWORD
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nonn
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AUTHOR
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Karol A. Penson (penson(AT)lptl.jussieu.fr), Nov 30 2001
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