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 A277299 Central terms of triangle A277295 in even-indexed rows; a(n) = A277295(2*n,n-1). 4
 1, 14, 698, 56410, 6036632, 784844330, 118467338692, 20204403241014, 3825143045741850, 794096638401382028, 179152196191253429864, 43621984527307144281094, 11400895235718650585287660, 3183846191638117842792003252, 946381984098376099573619213864, 298412976572690317096982653746772 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS G.f. G(x,y) of triangle A277295 satisfies: (1) G(x,y) = x + G( y*G(x,y) + (1-y)*x, y)^2. (2) G( x - y*G(x,y)^2, y) = x + (1-y)*G(x,y)^2. LINKS Table of n, a(n) for n=1..16. PROG (PARI) {A277295(n, k) = my(A=x); for(i=1, n, A = x + subst(A^2, x, y*A + (1-y)*x +x*O(x^n)) ); polcoeff(polcoeff(A, n, x), k, y)} for(n=1, 20, print1(A277295(2*n, n-1), ", ")) CROSSREFS Cf. A277295, A277296, A277297, A277298. Sequence in context: A233078 A223129 A303288 * A233506 A103426 A203750 Adjacent sequences: A277296 A277297 A277298 * A277300 A277301 A277302 KEYWORD nonn AUTHOR Paul D. Hanna, Oct 11 2016 STATUS approved

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Last modified May 19 06:35 EDT 2024. Contains 372666 sequences. (Running on oeis4.)