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Triangle in which rows are permutations of the rows of A008282.
2

%I #17 Apr 28 2023 14:44:52

%S 1,1,1,2,1,2,5,2,5,4,16,5,16,10,14,61,16,61,32,56,46,272,61,272,122,

%T 256,178,224,1385,272,1385,544,1324,800,1202,1024,7936,1385,7936,2770,

%U 7664,4094,7120,5296,6320,50521,7936,50521,15872,49136,23536,46366,30656,42272,36976

%N Triangle in which rows are permutations of the rows of A008282.

%C This triangle appears on p. 24 of the linked reference and is defined by Proposition 5.6.

%H Alois P. Heinz, <a href="/A064192/b064192.txt">Rows n = 1..141, flattened</a>

%H J. L. Arregui, <a href="http://arXiv.org/abs/math.NT/0109108">Tangent and Bernoulli numbers related to Motzkin and Catalan numbers by means of numerical triangles</a>. (See Prop. 5.6)

%e 1;

%e 1, 1;

%e 2, 1, 2;

%e 5, 2, 5, 4;

%e 16, 5, 16, 10, 14;

%e 61, 16, 61, 32, 56, 46;

%e 272, 61, 272, 122, 256, 178, 224;

%e 1385, 272, 1385, 544, 1324, 800, 1202, 1024;

%e ...

%Y First column gives A000111.

%Y Main diagonal gives A005437.

%Y Cf. A008282.

%K nonn,tabl,easy

%O 1,4

%A _N. J. A. Sloane_, Sep 21 2001

%E More terms from _David Wasserman_, Jul 16 2002

%E New offset 1 from _Alois P. Heinz_, Apr 28 2023