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 A334561 Square array A(n,k), n >= 0, k >= 1, read by antidiagonals downwards, where column k is the expansion of e.g.f. exp(-Sum_{j=1..k} x^j). 5
 1, 1, -1, 1, -1, 1, 1, -1, -1, -1, 1, -1, -1, 5, 1, 1, -1, -1, -1, 1, -1, 1, -1, -1, -1, 25, -41, 1, 1, -1, -1, -1, 1, 19, 31, -1, 1, -1, -1, -1, 1, 139, -209, 461, 1, 1, -1, -1, -1, 1, 19, 151, -2269, -895, -1, 1, -1, -1, -1, 1, 19, 871, -1429, 2801, -6481, 1, 1, -1, -1, -1, 1, 19, 151, 1091, -19039, 68615, 22591, -1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,14 LINKS Seiichi Manyama, Antidiagonals n = 0..139, flattened FORMULA A(0,k) = 1 and A(n,k) = - (n-1)! * Sum_{j=1..min(k,n)} j*A(n-j,k)/(n-j)!. EXAMPLE Square array begins:    1,   1,    1,   1,   1,   1,   1, ...   -1,  -1,   -1,  -1,  -1,  -1,  -1, ...    1,  -1,   -1,  -1,  -1,  -1,  -1, ...   -1,   5,   -1,  -1,  -1,  -1,  -1, ...    1,   1,   25,   1,   1,   1,   1, ...   -1, -41,   19, 139,  19,  19,  19, ...    1,  31, -209, 151, 871, 151, 151, ... CROSSREFS Columns k=1..5 give A033999, A000321, A334562, A334564, A334565. Main diagonal gives A293116. Cf. A293669, A334568. Sequence in context: A322356 A337337 A119788 * A059592 A295554 A319099 Adjacent sequences:  A334558 A334559 A334560 * A334562 A334563 A334564 KEYWORD sign,tabl AUTHOR Seiichi Manyama, May 06 2020 STATUS approved

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Last modified August 1 22:01 EDT 2021. Contains 346408 sequences. (Running on oeis4.)