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 A239005 Signed version of the Seidel triangle for the Euler numbers, read by rows. 4
 1, 0, 1, -1, -1, 0, 0, -1, -2, -2, 5, 5, 4, 2, 0, 0, 5, 10, 14, 16, 16, -61, -61, -56, -46, -32, -16, 0, 0, -61, -122, -178, -224, -256, -272, -272, 1385, 1385, 1324, 1202, 1024, 800, 544, 272, 0, 0, 1385, 2770, 4094, 5296, 6320, 7120, 7664, 7936, 7936 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 REFERENCES L. Seidel, Ueber eine einfache Entstehungsweise der Bernoulli'schen Zahlen und einiger verwandten Reihen, Sitzungsberichte der mathematisch-physikalischen Classe der königlich bayerischen Akademie der Wissenschaften zu München, volume 7 (1877), 157-187. LINKS FORMULA a(n) = A057077(n)*A008280(n) by rows. a(n) is the increasing antidiagonals of the difference table of A155585(n). Central column of triangle: A099023(n). Right main diagonal of triangle: A155585(n) (see A009006(n)). Left main diagonal of triangle: A122045(n). T(n,m) = Sum_{k=0..n} C(m,k)*Euler(n-m+k). - Vladimir Kruchinin, Apr 06 2015 EXAMPLE The triangle begins: ......................1 ....................0....1 .................-1..-1....0 ...............0...-1,..-2...-2 .............5....5...4....2....0 The difference table starts: 1,       1,    0,   -2,    0,   16,    0, -272, 0,... 0,      -1,   -2,    2,   16,  -16, -272,  272,... -1,     -1,    4,   14,  -32, -256,  544,... 0,       5,   10,  -46, -224,  800,... 5,       5,  -56, -178, 1024,... 0,     -61, -122, 1202,... -61,   -61, 1324,... 0,    1385,... 1385,... MATHEMATICA t[0, 0] = 1; t[n_, m_] /; n

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