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%I #6 Oct 29 2021 11:59:30
%S 0,0,1,0,1,1,0,0,1,1,0,1,3,3,5,0,0,1,5,5,7,0,0,3,13,21,35,21,0,0,0,5,
%T 25,45,63,33,0,1,7,21,245,7,385,231,429,0,0,1,9,45,555,129,819,429,
%U 715,0,0,3,45,55,1155,2695,2387,3465,6435,2431
%N Triangle read by rows, T(n, k) = numerator([x^k] M(n, x)) where M(n,x) are the Mandelbrot-Larsen polynomials defined in A347928.
%H Neil J. Calkin, Eunice Y. S. Chan, and Robert M. Corless, <a href="https://doi.org/10.5206/mt.v1i1.14037">Some Facts and Conjectures about Mandelbrot Polynomials</a>, Maple Trans., Vol. 1, No. 1, Article 14037 (July 2021).
%H Michael Larsen, <a href="https://doi.org/10.1090/mcom/3564">Multiplicative series, modular forms, and Mandelbrot polynomials</a>, in: Mathematics of Computation 90.327 (Sept. 2020), pp. 345-377. Preprint: <a href="https://arxiv.org/abs/1908.09974">arXiv:1908.09974</a> [math.NT], 2019.
%e Triangle read by rows:
%e [0] 0
%e [1] 0, 1
%e [2] 0, 1, 1
%e [3] 0, 0, 1, 1
%e [4] 0, 1, 3, 3, 5
%e [5] 0, 0, 1, 5, 5, 7
%e [6] 0, 0, 3, 13, 21, 35, 21
%e [7] 0, 0, 0, 5, 25, 45, 63, 33
%e [8] 0, 1, 7, 21, 245, 7, 385, 231, 429
%e [9] 0, 0, 1, 9, 45, 555, 129, 819, 429, 715
%p # Polynomials M are defined in A347928.
%p T := (n, k) -> numer(coeff(M(n, x), x, k)):
%p for n from 0 to 9 do seq(T(n, k), k = 0..n) od;
%Y T(n, n) = A098597(n).
%Y Cf. A348678 (denominators), A347928.
%K nonn,tabl,frac
%O 0,13
%A _Peter Luschny_, Oct 29 2021
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