# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a167478 Showing 1-1 of 1 %I A167478 #17 Jul 28 2022 21:43:13 %S A167478 1,4,19,75,264,869,2741,8396,25175,74271,216336,623689,1782889, %T A167478 5060500,14277019,40070259,111954456,311555501,863978525,2388417116, %U A167478 6584117471,18104432199,49667825184,135974484625,371543306449,1013443026724 %N A167478 Expansion of (1-2x+6x^2-x^3)/(1-3x+x^2)^2. %C A167478 Hankel transform of A054109. %H A167478 G. C. Greubel, Table of n, a(n) for n = 0..1000 %H A167478 Index entries for linear recurrences with constant coefficients, signature (6,-11,6,-1). %F A167478 G.f.: (1-2*x+6*x^2-x^3)/(1-3*x+x^2)^2. %F A167478 a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4). - _Wesley Ivan Hurt_, Jul 28 2022 %t A167478 LinearRecurrence[{6, -11, 6, -1}, {1, 4, 19, 75}, 100] (* _G. C. Greubel_, Jun 13 2016 *) %t A167478 CoefficientList[Series[(1-2x+6x^2-x^3)/(1-3x+x^2)^2,{x,0,30}],x] (* _Harvey P. Dale_, Aug 04 2018 *) %Y A167478 Cf. A054109. %K A167478 easy,nonn %O A167478 0,2 %A A167478 _Paul Barry_, Nov 04 2009 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE