# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a078050 Showing 1-1 of 1 %I A078050 #22 Jun 05 2021 04:39:37 %S A078050 1,-2,0,4,-4,-4,12,-4,-20,28,12,-68,44,92,-180,-4,364,-356,-372,1084, %T A078050 -340,-1828,2508,1148,-6164,3868,8460,-16196,-724,33116,-31668,-34564, %U A078050 97900,-28772,-167028,224572,109484,-558628,339660,777596,-1456916,-98276,3012108,-2815556,-3208660,8839772 %N A078050 Expansion of (1-x)/(1+x+2*x^2). %C A078050 INVERTi transform of A005408, (2n + 1) = A078050 signed: (1, 2, 0, -4, -4, 4, 12, 4, -20, -28, ...) = left border of triangle A144106. - _Gary W. Adamson_, Sep 11 2008 %H A078050 Index entries for linear recurrences with constant coefficients, signature (-1,-2). %F A078050 a(n-1) = Sum_{k=1..n} (-1)^(n-k) * Sum_{i=0..n} binomial(k,n-i) * binomial(k+i-1, 2*k-1). - _Vladimir Kruchinin_, Mar 11 2013 %o A078050 (PARI) Vec((1-x)/(1+x+2*x^2)+O(x^99)) \\ _Charles R Greathouse IV_, Sep 23 2012 %Y A078050 Cf. A005408, A144106. - _Gary W. Adamson_, Sep 11 2008 %Y A078050 Cf. A208904. %K A078050 sign,easy %O A078050 0,2 %A A078050 _N. J. A. Sloane_, Nov 17 2002 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE