Revision History for A199883
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Showing entries 1-10
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| A199883
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Number of distinct values taken by 6th derivative of x^x^...^x (with n x's and parentheses inserted in all possible ways) at x=1.
(history;
published version)
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#15 by Alois P. Heinz at Fri Sep 26 16:34:56 EDT 2014
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#14 by Alois P. Heinz at Fri Sep 26 15:56:18 EDT 2014
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| DATA
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1, 1, 2, 4, 9, 20, 48, 113, 262, 591, 1263, 2505, 4764, 8479, 14285, 22871, 35316, 52755, 76517, 107826, 148914, 202715, 270622
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a(22)-a(23) from Alois P. Heinz, Sep 26 2014
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#13 by Alois P. Heinz at Fri Sep 26 15:49:49 EDT 2014
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1, 1, 2, 4, 9, 20, 48, 113, 262, 591, 1263, 2505, 4764, 8479, 14285, 22871, 35316, 52755, 76517, 107826, 148914, 202715
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a(22) from Alois P. Heinz, Sep 26 2014
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#12 by Alois P. Heinz at Fri Sep 26 15:34:50 EDT 2014
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| MAPLE
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{seq ((seq ((seq ([([2+g[1], 3*(1 +g[1] +h[1]) +g[2],
a:= n-> nops ((map ((x-> x[5], f(n))):
seq ((a(n), n=1..15);
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approved
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#11 by Alois P. Heinz at Wed Sep 05 17:13:10 EDT 2012
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#10 by Alois P. Heinz at Wed Sep 05 17:09:49 EDT 2012
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| CROSSREFS
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Cf. A000081 (distinct functions), A000108 (parenthesizations), A000012 (first derivatives), A028310 (2nd derivatives), A199085 (3rd derivatives), A199205 (4th derivatives), A199296 (5th derivatives), A002845, A003018, A003019, A145545, A145546, A145547, A145548, A145549, A145550, A082499, A196244, A198683, A215703, A215836. Column k=6 of A216368.
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approved
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#9 by Alois P. Heinz at Fri Aug 24 12:48:29 EDT 2012
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#8 by Alois P. Heinz at Fri Aug 24 12:48:25 EDT 2012
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Cf. A000081 (distinct functions), A000108 (parenthesizations), A000012 (first derivatives), A028310 (2nd derivatives), A199085 (3rd derivatives), A199205 (4th derivatives), A199296 (5th derivatives), A002845, A003018, A003019, A145545, A145546, A145547, A145548, A145549, A145550, A082499, A196244, A198683, A215703, A215836.
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approved
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#7 by Alois P. Heinz at Thu Aug 23 23:17:37 EDT 2012
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#6 by Alois P. Heinz at Thu Aug 23 23:17:33 EDT 2012
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| CROSSREFS
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Cf. A000081 (distinct functions), A000108 (parenthesizations), A000012 (first derivatives), A028310 (2nd derivatives), A199085 (3rd derivatives), A199205 (4th derivatives), A199296 (5th derivatives), A002845, A003018, A003019, A145545, A145546, A145547, A145548, A145549, A145550, A082499, A196244, A198683, A215703.
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approved
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