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 A348859 G.f. A(x) satisfies: A(x) = 1 / ((1 - x) * (1 - x * A(4*x))). 2
 1, 2, 11, 204, 13701, 3550838, 3646912991, 14948746703872, 244965160945456921, 16054771878797715999594, 4208710286900635084866205491, 4413165224136772109314051383922356, 18510169791808150609141704979384516863021, 310549172324407121253872529077196811473762678750 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Table of n, a(n) for n=0..13. FORMULA a(n) = 1 + Sum_{k=0..n-1} 4^k * a(k) * a(n-k-1). a(n) ~ c * 2^(n*(n-1)), where c = 3.399782064170449155365557063612838469541502782488369640092639686931819... - Vaclav Kotesovec, Nov 02 2021 MATHEMATICA nmax = 13; A[_] = 0; Do[A[x_] = 1/((1 - x) (1 - x A[4 x])) + O[x]^(nmax + 1) // Normal, nmax + 1]; CoefficientList[A[x], x] a[n_] := a[n] = 1 + Sum[4^k a[k] a[n - k - 1], {k, 0, n - 1}]; Table[a[n], {n, 0, 13}] CROSSREFS Cf. A007317, A015085, A348857, A348858. Sequence in context: A226052 A271429 A051663 * A358649 A188203 A070256 Adjacent sequences: A348856 A348857 A348858 * A348860 A348861 A348862 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Nov 02 2021 STATUS approved

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Last modified June 10 10:09 EDT 2023. Contains 363199 sequences. (Running on oeis4.)