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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A333273 Irregular triangle read by rows: coefficients of q-Eulerian polynomials of Type B.

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%I A333273 #24 Mar 03 2025 14:41:43
%S A333273 1,1,4,1,20,1,72,80,1,232,976,1,716,7664,3904,1,2172,49776,88640,1,
%T A333273 6544,292320,1217792,354560,1,19664,1618656,13201664,12933376,1,59028,
%U A333273 8643872,124784768,274820352,51733504,1,177124,45108256,1080946304,4469939456,2767631360
%N A333273 Irregular triangle read by rows: coefficients of q-Eulerian polynomials of Type B.
%C A333273 For Type A see A101280.
%H A333273 Guoniu Han, Frédéric Jouhet, and Jiang Zeng, <a href="http://irma.math.unistra.fr/~guoniu/papers/p75jouhet.pdf">Two new triangles of q-integers via q-Eulerian polynomials of type A and B</a>, preprint.
%H A333273 Guoniu Han, Frédéric Jouhet, and Jiang Zeng, <a href="https://doi.org/10.1007/s11139-012-9389-3">Two new triangles of q-integers via q-Eulerian polynomials of type A and B</a>, Ramanujan J (2013) 31:115-127.
%F A333273 T(n, k) = A008971(n, k) * 4^k. [Han et al.] - _Andrey Zabolotskiy_, Feb 15 2025
%e A333273 Triangle begins:
%e A333273   1;
%e A333273   1,    4;
%e A333273   1,   20;
%e A333273   1,   72,   80;
%e A333273   1,  232,  976;
%e A333273   1,  716, 7664, 3904;
%e A333273   ...
%Y A333273 Cf. A101280, A008971. Row sums are A182825.
%K A333273 nonn,tabf
%O A333273 1,3
%A A333273 _N. J. A. Sloane_, Mar 14 2020
%E A333273 Term T(6, 2) corrected (Table 1 in the Han et al. reference has a typo) by _Robert S. Maier_, Feb 15 2025
%E A333273 Rows 7-11 from _Andrey Zabolotskiy_, Mar 03 2025