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A113269 Partial sums of Catalan numbers A000108 multiplied by powers of -10. 1
1, -9, 191, -4809, 135191, -4064809, 127935191, -4162064809, 138837935191, -4723162064809, 163236837935191, -5715363162064809, 202296636837935191, -7226703363162064809, 260217296636837935191, -9434627703363162064809, 344142072296636837935191 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Eleventh column (m=10) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers).

LINKS

Table of n, a(n) for n=0..16.

FORMULA

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).

CROSSREFS

Cf. A113268 (m=9).

Sequence in context: A157387 A218422 A119291 * A307387 A332119 A261826

Adjacent sequences:  A113266 A113267 A113268 * A113270 A113271 A113272

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang, Oct 31 2005

STATUS

approved

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Last modified August 9 17:04 EDT 2022. Contains 356026 sequences. (Running on oeis4.)