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%I #10 Jan 09 2018 08:33:45
%S 1,-1,1,0,0,1,1,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,2,1,1,1,1,
%T 0,1,2,2,2,1,2,1,1,0,1,2,3,2,3,1,2,1,1,0,1,4,3,4,2,3,2,2,1,1,0,1,4,5,
%U 4,4,3,3,2,2,1,1,0,1,7,5,6,5,5,3,4,2,2,1,1,0,1,7,8,7,7,5,6,3,4,2,2,1,1,0,1,11,9,10,8,8,6,6,4,4,2,2,1,1,0,1,12,13,11,12,9,9,7,6,4,4,2,2,1,1,0,1
%N Triangle read by rows: T(n,k) = number of vector partitions of n with crank k (0 <= k <= n).
%H F. G. Garvan, <a href="http://dx.doi.org/10.1090/S0002-9947-1988-0920146-8">New combinatorial interpretations of Ramanujan's partition congruences mod 5, 7 and 11</a>, Trans. Amer. Math. Soc., 305 (1988), 47-77. MR0920146 (89b:11081).
%e Triangle begins:
%e 1,
%e -1,1,
%e 0,0,1,
%e 1,0,0,1,
%e 1,0,1,0,1,
%e 1,1,0,1,0,1,
%e 1,1,1,1,1,0,1,
%e 1,2,1,1,1,1,0,1,
%e 2,2,2,1,2,1,1,0,1,
%e 2,3,2,3,1,2,1,1,0,1,
%e 4,3,4,2,3,2,2,1,1,0,1,
%e 4,5,4,4,3,3,2,2,1,1,0,1,
%e 7,5,6,5,5,3,4,2,2,1,1,0,1,
%e 7,8,7,7,5,6,3,4,2,2,1,1,0,1,
%e 11,9,10,8,8,6,6,4,4,2,2,1,1,0,1,
%e 12,13,11,12,9,9,7,6,4,4,2,2,1,1,0,1,
%e 17,15,16,13,14,10,10,7,7,4,4,...
%K sign,tabl
%O 0,30
%A _N. J. A. Sloane_, Apr 24 2015
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