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 A000393 Number of n-node rooted trees of height 6. (Formerly M4170 N1736) 2
 0, 0, 0, 0, 0, 0, 1, 6, 26, 94, 308, 941, 2744, 7722, 21166, 56809, 149971, 390517, 1005491, 2564164, 6485901, 16289602, 40659669, 100934017, 249343899, 613286048, 1502515487, 3667953650, 8925161513, 21652815724, 52387028291 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS N. J. A. Sloane, Table of n, a(n) for n=1..200 J. Riordan, Enumeration of trees by height and diameter, IBM J. Res. Dev. 4 (1960), 473-478. FORMULA MAPLE For Maple program see link in A000235. MATHEMATICA f[n_] := Nest[CoefficientList[Series[Product[1/(1 - x^i)^#[[i]], {i, 1, Length[#]}], {x, 0, 40}], x] &, {1}, n]; f[6]-f[5] (* Geoffrey Critzer, Aug 01 2013 *) CROSSREFS Column h=6 of A034781. Sequence in context: A224288 A036638 A036645 * A106392 A143132 A055589 Adjacent sequences:  A000390 A000391 A000392 * A000394 A000395 A000396 KEYWORD nonn AUTHOR STATUS approved

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Last modified October 18 12:18 EDT 2019. Contains 328160 sequences. (Running on oeis4.)