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 A112711 Partial sums of Catalan numbers A000108 multiplied by powers of -4. 2
 1, -3, 29, -291, 3293, -39715, 500957, -6527779, 87188701, -1187355427, 16424527069, -230141827875, 3259720426717, -46595454638883, 671319066305757, -9738441487391523, 142121594825368797, -2085158937761782563, 30737922595101500637, -455043684091275090723 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Fifth column (m=4) of triangle A112707 (partial sums of Catalan numbers multiplied by powers of nonpositive numbers). LINKS FORMULA a(n)= A112707(n+4, 4), n>=0. G.f.: c(-4*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(4*x)/(1+x), hence |a(n)| is the convolution of the sequences {C(n)*4^n} and {(-1)^n}, where C(n):=A000108(n). CROSSREFS Cf. A112710 (m=3). Sequence in context: A140780 A268493 A002669 * A155651 A268020 A278934 Adjacent sequences:  A112708 A112709 A112710 * A112712 A112713 A112714 KEYWORD sign,easy AUTHOR Wolfdieter Lang, Oct 31 2005 STATUS approved

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Last modified October 21 18:54 EDT 2019. Contains 328308 sequences. (Running on oeis4.)