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A113264
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Partial sums of Catalan numbers A000108 multiplied by powers of -5.
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2
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1, -4, 46, -579, 8171, -123079, 1939421, -31576204, 527017546, -8969076204, 155054361296, -2715355794954, 48068823892546, -858791527669954, 15464694800455046, -280398494896810579, 5114753787818033171, -93796371395287435579, 1728250671451392251921
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OFFSET
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0,2
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COMMENTS
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Sixth column (m=5) 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(-5*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(5*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*5^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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