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A323833 A Seidel matrix a(n,k) read by antidiagonals upwards. 3
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, -24, -45, -61, -272, -333, -378, -402, -402, -378, -333, -272, -1385, -1113, -780, -402, 0, 402, 780, 1113, 1385, 7936, 9321, 10434, 11214, 11616, 11616, 11214, 10434, 9321, 7936 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,7

COMMENTS

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

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

LINKS

Alois P. Heinz, Antidiagonals  n = 0..140, flattened

A. Randrianarivony and J. Zeng, Une famille de polynomes qui interpole plusieurs suites..., Adv. Appl. Math. 17 (1996), 1-26. See Section 6.

EXAMPLE

The first few antidiagonals are:

     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,  -24,  -45,  -61;

  -272, -333, -378, -402, -402, -378, -333, -272;

  ...

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

CROSSREFS

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

Sequence in context: A008985 A326699 A138652 * A131899 A095174 A131307

Adjacent sequences:  A323830 A323831 A323832 * A323834 A323835 A323836

KEYWORD

sign,tabl

AUTHOR

N. J. A. Sloane, Feb 03 2019

EXTENSIONS

More terms from Alois P. Heinz, Feb 09 2019

STATUS

approved

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Last modified October 19 16:17 EDT 2019. Contains 328223 sequences. (Running on oeis4.)