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A236935 The infinite Seidel matrix H read by antidiagonals upwards. 1

%I

%S 1,0,-1,-1,-1,0,0,1,2,2,5,5,4,2,0,0,-5,-10,-14,-16,-16,-61,-61,-56,

%T -46,-32,-16,0,0,61,122,178,224,256,272,272

%N The infinite Seidel matrix H read by antidiagonals upwards.

%C This is, in essence, a signed version of the triangle in A008282.

%D L. Seidel, Über eine einfache Enstehungsweise der Bernoullischen Zahlen und einiger verwandten Reihen, Sitzungberichte der Muench. Akad., Math. Phys. Classe, 1877, pp. 157-187.

%H D. Dumont & G. Viennot, <a href="/A110501/a110501.pdf"> A combinatorial interpretation of the Seidel generation of Genocchi numbers</a>, Preprint, Annotated scanned copy.

%H Dominique Foata and Guo-Niu Han, <a href="http://www-irma.u-strasbg.fr/~foata/paper/pub123Seidel.pdf">Seidel Triangle Sequences and Bi-Entringer Numbers</a>, November 20, 2013.

%e Array begins:

%e 1 -1 0 2 0 -16 0 272 0 ...

%e 0 -1 2 2 -16 -16 272 272 ...

%e -1 1 4 -14 -32 256 544 ...

%e 0 5 -10 -46 224 800 ...

%e 5 -5 -56 178 1024 ...

%e 0 -61 122 1202 ...

%e -61 61 1324 ...

%e 0 1385 ...

%e 1385 ...

%e ...

%Y Cf. A008282.

%K sign,more,tabl

%O 0,9

%A _N. J. A. Sloane_, Feb 17 2014

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Last modified August 22 07:40 EDT 2019. Contains 326172 sequences. (Running on oeis4.)