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 A102465 a(n) = number of distinct values of prod_{i=1..r} x_i!*i!^x_i, where (x_1, ..., x_r) is an r-tuple of nonnegative integers with sum_{i=1..r} i*x_i = n. 2
 1, 1, 2, 4, 4, 7, 7, 13, 17, 23, 26, 40, 45, 60, 64, 102, 115, 148, 169, 225, 261, 337, 375, 470, 552, 668, 780, 954, 1078, 1331, 1469, 1811, 2055, 2475, 2776, 3343, 3764, 4447, 4983, 5898, 6622, 7771, 8646, 10192, 11403, 13238, 14680, 17011, 19010, 21877 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS MAPLE b:= proc(n, i) option remember; `if`(n=0, {1}, `if`(i<1, {},        {seq (map(x-> x*i!^j*j!, b(n-i*j, i-1))[], j=0..n/i)})) end: a:= n-> nops (b(n, n)): seq (a(n), n=1..40);    # Alois P. Heinz, Apr 13 2012 CROSSREFS Cf. A073906. Cf. A102462, A102463. Sequence in context: A023831 A023844 A132083 * A139825 A164721 A194118 Adjacent sequences:  A102462 A102463 A102464 * A102466 A102467 A102468 KEYWORD nonn,changed AUTHOR Vladeta Jovovic, Feb 23 2005 EXTENSIONS More terms from David Wasserman, Apr 11 2008 STATUS approved

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