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A323833 A Seidel matrix a(n,k) read by antidiagonals upwards. 3

%I

%S 0,1,1,1,0,-1,-2,-3,-3,-2,-5,-3,0,3,5,16,21,24,24,21,16,61,45,24,0,

%T -24,-45,-61,-272,-333,-378,-402,-402,-378,-333,-272,-1385,-1113,-780,

%U -402,0,402,780,1113,1385,7936,9321,10434,11214,11616,11616,11214,10434,9321,7936

%N A Seidel matrix a(n,k) read by antidiagonals upwards.

%C The first row is a signed version of the Euler numbers A000111.

%C Other rows are defined by a(n+1,k) = a(n,k) + a(n,k+1).

%H Alois P. Heinz, <a href="/A323833/b323833.txt">Antidiagonals n = 0..140, flattened</a>

%H A. Randrianarivony and J. Zeng, <a href="http://dx.doi.org/10.1006/aama.1996.0001">Une famille de polynomes qui interpole plusieurs suites...</a>, Adv. Appl. Math. 17 (1996), 1-26. See Section 6.

%e The first few antidiagonals are:

%e 0;

%e 1, 1;

%e 1, 0, -1;

%e -2, -3, -3, -2;

%e -5, -3, 0, 3, 5;

%e 16, 21, 24, 24, 21, 16;

%e 61, 45, 24, 0, -24, -45, -61;

%e -272, -333, -378, -402, -402, -378, -333, -272;

%e ...

%e For the array itself, see the Randrianarivony and Zeng (1996) article.

%Y Cf. A000111, A002832 (next-to-main diagonal), A323834.

%K sign,tabl

%O 0,7

%A _N. J. A. Sloane_, Feb 03 2019

%E More terms from _Alois P. Heinz_, Feb 09 2019

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Last modified August 6 09:02 EDT 2020. Contains 336228 sequences. (Running on oeis4.)