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 A113267 Partial sums of Catalan numbers A000108 multiplied by powers of -8. 1
 1, -7, 121, -2439, 54905, -1321351, 33281657, -866396551, 23125022329, -629441571207, 17405126104697, -487562768820615, 13806913025988217, -394606681111406983, 11367704830045574777, -329739328993506896263, 9622560010799553435257 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Ninth column (m=8) 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+8, 8), n>=0. G.f.: c(-8*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(8*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*8^n} and {(-1)^n}, where C(n):=A000108(n). CROSSREFS Cf. A113266 (m=7). Sequence in context: A197041 A283625 A095752 * A274267 A012028 A279235 Adjacent sequences: A113264 A113265 A113266 * A113268 A113269 A113270 KEYWORD sign,easy AUTHOR Wolfdieter Lang, Oct 31 2005 STATUS approved

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Last modified October 1 02:33 EDT 2023. Contains 365812 sequences. (Running on oeis4.)