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 A265033 Generating function A(x) satisfies A = 1 + x*A^6 + x^2*A^12. 1
 1, 1, 7, 69, 794, 9976, 132657, 1835406, 26149390, 381047316, 5652729938, 85083226696, 1296149152770, 19946485967765, 309623839343190, 4842246124795062, 76223652657288606, 1206767364167388590, 19202880705976262634, 306959907226679676021, 4926844631755358159974 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..800 Gi-Sang Cheon, S.-T. Jin, L. W. Shapiro, A combinatorial equivalence relation for formal power series, Linear Algebra and its Applications, Available online 30 March 2015. FORMULA See page 11 of Cheon et al. 2015 for an explicit formula for a(n). a(n) ~ 3^(6*n + 1/4) * (5 + sqrt(69))^(n + 1/2) * (39 + sqrt(69))^(6*n + 3/2) / (23^(1/4) * sqrt(Pi) * n^(3/2) * 2^(n+2) * 11^(12*n + 3)). - Vaclav Kotesovec, Nov 20 2017 MAPLE a:= n-> coeff(series(RootOf(A=1+x*A^6+x^2*A^12, A), x, n+1), x, n): seq(a(n), n=0..30);  # Alois P. Heinz, Dec 09 2015 CROSSREFS Sequence in context: A084774 A025757 A243668 * A226270 A121351 A302353 Adjacent sequences:  A265030 A265031 A265032 * A265034 A265035 A265036 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 05 2015 EXTENSIONS More terms from Alois P. Heinz, Dec 09 2015 STATUS approved

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Last modified August 18 13:12 EDT 2019. Contains 326100 sequences. (Running on oeis4.)