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A226854
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a(n) = (-5*B(n+2) + (2*n+9)*B(n+1) + (2*n+1)*B(n))/4, where the B(i) are Bell numbers (A000110).
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1
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0, 0, 0, 0, 1, 11, 89, 660, 4795, 35067, 261505, 2001608, 15777434, 128270836, 1076208942, 9318227402, 83230080505, 766465520673, 7272362469647, 71040825568988, 713933196773609
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OFFSET
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0,6
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LINKS
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MATHEMATICA
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Table[(-5 BellB[n+2] + (2 n + 9) BellB[n + 1] + (2 n + 1) BellB[n])/4, {n, 0, 30}] (* Vincenzo Librandi Jul 16 2013 *)
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PROG
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(PARI) B(n) = if (n<=1, return (1), return (sum(i=0, n-1, binomial(n-1, i)*B(n-1-i))))
a(n) = (-5*B(n+2) + (2*n+9)*B(n+1) + (2*n+1)*B(n))/4
(Magma) [(-5*Bell(n+2)+(2*n+9)*Bell(n+1)+(2*n+1)*Bell(n))/4: n in [0..30]]; // Vincenzo Librandi, Jul 16 2013
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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