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 A294296 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(Sum_{j>=1} sigma_k(j) * x^j). 3
 1, 1, 1, 1, 1, 5, 1, 1, 7, 25, 1, 1, 11, 43, 193, 1, 1, 19, 91, 409, 1481, 1, 1, 35, 223, 1105, 3841, 16021, 1, 1, 67, 595, 3505, 13841, 50431, 167665, 1, 1, 131, 1663, 12193, 60841, 230731, 648187, 2220065, 1, 1, 259, 4771, 44689, 297761, 1340851, 3955771 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 LINKS Seiichi Manyama, Antidiagonals n = 0..139, flattened FORMULA A(0,k) = 1 and A(n,k) = (n-1)! * Sum_{j=1..n} j*sigma_k(j)*A(n-j,k)/(n-j)! for n > 0. EXAMPLE Square array A(n,k) begins: 1, 1, 1, 1, 1, ... 1, 1, 1, 1, 1, ... 5, 7, 11, 19, 35, ... 25, 43, 91, 223, 595, ... 193, 409, 1105, 3505, 12193, ... 1481, 3841, 13841, 60841, 297761, ... CROSSREFS Columns k=0..2 give A294363, A294361, A294362. Rows n=0-1 give A000012. Main diagonal gives A294388. Cf. A144048. Sequence in context: A299249 A299458 A300096 * A078181 A054110 A132048 Adjacent sequences: A294293 A294294 A294295 * A294297 A294298 A294299 KEYWORD nonn,tabl AUTHOR Seiichi Manyama, Oct 30 2017 STATUS approved

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Last modified March 26 15:32 EDT 2023. Contains 361549 sequences. (Running on oeis4.)