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#18 by Alois P. Heinz at Wed Feb 08 16:19:07 EST 2017
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#17 by Alois P. Heinz at Wed Feb 08 16:17:35 EST 2017
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E.g.f.: 1/(1 + LambertW(-x)) + 1/(1 - x) - 2, ), where LambertW() is the Lambert W-function. - Ilya Gutkovskiy, Jan 08 2017
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Discussion
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| Wed Feb 08
| 16:18
| Alois P. Heinz: ... is consistent with n^n + n! at n=0.
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#16 by Alois P. Heinz at Wed Feb 08 16:17:14 EST 2017
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#15 by Michel Marcus at Wed Feb 08 15:20:04 EST 2017
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Discussion
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| Wed Feb 08
| 16:17
| Alois P. Heinz: a(0) is not 0.
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#14 by Michel Marcus at Wed Feb 08 15:19:32 EST 2017
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lst={}; Do[AppendTo[lst, n^n+n! ], {n, 3*4!}]; lst [_ (* _Vladimir Joseph Stephan Orlovsky_, Nov 20 2008] *)
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proposed
editing
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#13 by Ilya Gutkovskiy at Wed Feb 08 13:47:27 EST 2017
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#12 by Ilya Gutkovskiy at Wed Feb 08 13:17:38 EST 2017
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a(n) = n^n + n!.
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| FORMULA
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E.g.f.: 1/(1 + LambertW(-x)) + 1/(1 - x) - 2, where LambertW() is the Lambert W-function. - Ilya Gutkovskiy, Jan 08 2017
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| CROSSREFS
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Cf. A000142, A000312, A036679.
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approved
editing
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#11 by Harvey P. Dale at Sat Dec 31 12:44:00 EST 2016
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#10 by Harvey P. Dale at Sat Dec 31 12:43:56 EST 2016
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| MATHEMATICA
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Table[n^n+n!, {n, 20}] (* Harvey P. Dale, Dec 31 2016 *)
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approved
editing
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#9 by Alois P. Heinz at Wed Aug 28 16:48:09 EDT 2013
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