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A112711
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Partial sums of Catalan numbers A000108 multiplied by powers of -4.
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2
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1, -3, 29, -291, 3293, -39715, 500957, -6527779, 87188701, -1187355427, 16424527069, -230141827875, 3259720426717, -46595454638883, 671319066305757, -9738441487391523, 142121594825368797, -2085158937761782563, 30737922595101500637, -455043684091275090723
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OFFSET
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0,2
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COMMENTS
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Fifth column (m=4) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).
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LINKS
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FORMULA
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G.f.: c(-4*x)/(1-x), where c(x):=(1-sqrt(1-4*x))/(2*x) is the o.g.f. of Catalan numbers A000108.
G.f. for unsigned sequence: c(4*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*4^n} and {(-1)^n}, where C(n):=A000108(n).
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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STATUS
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approved
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