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 A348014 Triangle, read by rows, with row n forming the coefficients in Product_{k=0..n} (1 + k^k*x). 1
 1, 1, 1, 1, 5, 4, 1, 32, 139, 108, 1, 288, 8331, 35692, 27648, 1, 3413, 908331, 26070067, 111565148, 86400000, 1, 50069, 160145259, 42405161203, 1216436611100, 5205269945088, 4031078400000 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 LINKS Seiichi Manyama, Rows n = 0..37, flattened FORMULA T(0,0) = 1; T(n,k) = T(n-1,k) + n^n * T(n-1,k-1). EXAMPLE Triangle begins: 1; 1, 1; 1, 5, 4; 1, 32, 139, 108; 1, 288, 8331, 35692, 27648; 1, 3413, 908331, 26070067, 111565148, 86400000; PROG (PARI) T(n, k) = if(k==0, 1, if(k==n, prod(j=1, n, j^j), T(n-1, k)+n^n*T(n-1, k-1))); (PARI) row(n) = Vecrev(prod(k=1, n, 1+k^k*x)); CROSSREFS Column k=1 gives A001923. The diagonal of the triangle is A002109. Cf. A007318, A008955, A023531, A108084, A173007, A173008, A249677. Sequence in context: A182824 A329120 A152862 * A108440 A102220 A279151 Adjacent sequences: A348011 A348012 A348013 * A348015 A348016 A348017 KEYWORD nonn,tabl AUTHOR Seiichi Manyama, Sep 24 2021 STATUS approved

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Last modified April 12 06:13 EDT 2024. Contains 371623 sequences. (Running on oeis4.)