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Search: id:A113269
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| A113269 |
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Partial sums of Catalan numbers A000108 multiplied by powers of -10. |
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+0
2
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| 1, -9, 191, -4809, 135191, -4064809, 127935191, -4162064809, 138837935191, -4723162064809, 163236837935191, -5715363162064809, 202296636837935191, -7226703363162064809, 260217296636837935191, -9434627703363162064809, 344142072296636837935191
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Eleventh column (m=10) 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+10, 10), n>=0.
G.f.: c(-10*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(10*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*10^n} and {(-1)^n}, where C(n):=A000108(n).
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CROSSREFS
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Cf. A113268 (m=9).
Sequence in context: A113564 A157387 A119291 this_sequence A116877 A081020 A017426
Adjacent sequences: A113266 A113267 A113268 this_sequence A113270 A113271 A113272
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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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