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Search: id:A113264
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| A113264 |
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Partial sums of Catalan numbers A000108 multiplied by powers of -5. |
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+0
3
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| 1, -4, 46, -579, 8171, -123079, 1939421, -31576204, 527017546, -8969076204, 155054361296, -2715355794954, 48068823892546, -858791527669954, 15464694800455046, -280398494896810579, 5114753787818033171, -93796371395287435579, 1728250671451392251921
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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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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FORMULA
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a(n)= A112707(n+5, 5), n>=0.
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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Cf. A112711 (m=4).
Adjacent sequences: A113261 A113262 A113263 this_sequence A113265 A113266 A113267
Sequence in context: A132932 A097952 A097643 this_sequence A126739 A099023 A000657
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KEYWORD
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sign,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Oct 31 2005
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