The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 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 MATHEMATICA m = 21; A[_] = 0; Do[A[x_] = 1 + x A[x]^6 + x^2 A[x]^12 + O[x]^m, {m}]; CoefficientList[A[x], x] (* Jean-François Alcover, Oct 04 2019 *) 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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 25 19:14 EDT 2022. Contains 354071 sequences. (Running on oeis4.)