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 A112710 Partial sums of Catalan numbers A000108 multiplied by powers of -3. 2
 1, -2, 16, -119, 1015, -9191, 87037, -851186, 8531044, -87167702, 904619302, -9509144240, 101036961052, -1083385595648, 11708378016712, -127402051267703, 1394629704432367, -15347719608268403, 169699299111055897, -1884322608673443833, 21003350078068124587 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Fourth column (m=3) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). LINKS FORMULA a(n)= A112707(n+3, 3), n>=0. G.f.: c(-3*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(3*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*3^n} and {(-1)^n}, where C(n):=A000108(n). CROSSREFS Cf. A064306 (unsigned m=2 case). Sequence in context: A159324 A088755 A136782 * A046105 A086854 A258683 Adjacent sequences:  A112707 A112708 A112709 * A112711 A112712 A112713 KEYWORD sign,easy AUTHOR Wolfdieter Lang, Oct 31 2005 STATUS approved

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Last modified October 20 20:13 EDT 2019. Contains 328272 sequences. (Running on oeis4.)