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 A286352 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} 1/(1 + x^j)^k. 14
 1, 1, 0, 1, -1, 0, 1, -2, 0, 0, 1, -3, 1, -1, 0, 1, -4, 3, -2, 1, 0, 1, -5, 6, -4, 4, -1, 0, 1, -6, 10, -8, 9, -4, 1, 0, 1, -7, 15, -15, 17, -12, 5, -1, 0, 1, -8, 21, -26, 30, -28, 15, -6, 2, 0, 1, -9, 28, -42, 51, -56, 38, -21, 9, -2, 0, 1, -10, 36, -64, 84 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS Seiichi Manyama, Antidiagonals n = 0..139, flattened FORMULA G.f. of column k: Product_{j>=1} 1/(1 + x^j)^k. EXAMPLE Square array begins: 1, 1, 1, 1, 1, 1, ... 0, -1, -2, -3, -4, -5, ... 0, 0, 1, 3, 6, 10, ... 0, -1, -2, -4, -8, -15, ... 0, 1, 4, 9, 17, 30, ... CROSSREFS Columns k=0-32 give: A000007, A081362, A022597-A022627. Main diagonal gives A255526. Antidiagonal sums give A299208. Cf. A286335. Sequence in context: A291678 A286180 A291701 * A332898 A175045 A292377 Adjacent sequences: A286349 A286350 A286351 * A286353 A286354 A286355 KEYWORD sign,tabl AUTHOR Seiichi Manyama, May 08 2017 STATUS approved

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Last modified May 29 01:44 EDT 2023. Contains 363029 sequences. (Running on oeis4.)