cp's OEIS Frontend

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.

A129130 Number of triples of standard tableaux with the same shape of height less than or equal to three.

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%I A129130 #5 Dec 16 2017 05:13:58
%S A129130 1,1,2,10,63,531,6201,70477,897149,12772405,188334604,2939523104,
%T A129130 47902337803,809518276503,14134544880444,252955559204532,
%U A129130 4651455689358657,87356706437180529,1669767921758484702
%N A129130 Number of triples of standard tableaux with the same shape of height less than or equal to three.
%H A129130 F. Bergeron, L. Favreau and D. Krob, <a href="http://dx.doi.org/10.1016/0012-365X(94)00148-C">Conjectures on the enumeration of tableaux of bounded height</a>, Discrete Math, vol. 139, no. 1-3 (1995), 463-468.
%F A129130 sum_lambda f_lambda^3 where the sum is over lambda partitions of length less than or equal to 3 and f_lambda is the number of standard tableaux of shape lambda
%e A129130 f_111 = f_3 = 1, f_21 = 2 therefore a(3) = f_111^3 + f_21^3 + f_3^3 = 1+8+1 = 10
%Y A129130 Cf. A001006, A005802, A003161.
%K A129130 nonn
%O A129130 0,3
%A A129130 _Mike Zabrocki_, Mar 30 2007