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Search: id:A024210
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| A024210 |
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Number of terms in n-th derivative of a function composed with itself 10 times. |
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+0
13
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| 1, 1, 10, 55, 265, 1045, 3817, 12583, 39148, 114235, 318857, 850576, 2190850, 5451721, 13184711, 31023842, 71286349, 160139911, 352574213, 761567304, 1616713932, 3376143283, 6944345483, 14080091227, 28169087367
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OFFSET
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0,3
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REFERENCES
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W. C. Yang (yang(AT)math.wisc.edu), Derivatives of self-compositions of functions, preprint, 1997.
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FORMULA
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If a(n, m) = number of terms in m-derivative of a function composed with itself n times, p(n, k) = number of partitions of n into k parts, then a(n, m)=sum{i=0..m}p(m, i)a(n-1, i).
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CROSSREFS
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Cf. A008778, A022811-A022817, A024207-A024209. First column of A050304.
Sequence in context: A145459 A034241 A022575 this_sequence A054629 A030114 A001557
Adjacent sequences: A024207 A024208 A024209 this_sequence A024211 A024212 A024213
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KEYWORD
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nonn
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AUTHOR
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Winston C. Yang (yang(AT)math.wisc.edu)
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