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 A338438 a(n) = n! * [x^n] Product_{k=1..n, gcd(n,k) = 1} (1 + x^k/k!). 1
 1, 1, 0, 3, 4, 15, 6, 168, 64, 171, 130, 44418, 804, 802750, 2380, 683595, 5782144, 840363295, 40410, 24358246734, 221953840, 3114081516, 5372831860, 62269802986834, 25703183400, 548547778815000, 3028000483716, 9604167089258628, 30673543523224, 13242158988496348746 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS MATHEMATICA Table[n! SeriesCoefficient[Product[(1 + Boole[GCD[n, k] == 1] x^k/k!), {k, 1, n}], {x, 0, n}], {n, 0, 29}] CROSSREFS Cf. A007837, A036998, A338436. Sequence in context: A280685 A076365 A070971 * A130113 A004735 A240673 Adjacent sequences: A338435 A338436 A338437 * A338439 A338440 A338441 KEYWORD nonn AUTHOR Ilya Gutkovskiy, Oct 27 2020 STATUS approved

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Last modified November 28 10:39 EST 2022. Contains 358411 sequences. (Running on oeis4.)