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 A318798 Number of rooted trees with n nodes such that no more than four subtrees of the same size extend from the same node. 2
 0, 1, 1, 2, 4, 9, 19, 46, 110, 273, 684, 1746, 4503, 11758, 30943, 82118, 219337, 589477, 1592427, 4322386, 11781435, 32235285, 88502260, 243747792, 673238061, 1864400173, 5175591107, 14399672901, 40146278964, 112143682477, 313822403439, 879673332422 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 0..2143 MAPLE g:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(       binomial(g((i-1)\$2)+j-1, j)*g(n-i*j, i-1), j=0..min(4, n/i))))     end: a:= n-> g((n-1)\$2): seq(a(n), n=0..40); CROSSREFS Column k=4 of A318753. Sequence in context: A036614 A036718 A134964 * A318851 A052328 A133228 Adjacent sequences:  A318795 A318796 A318797 * A318799 A318800 A318801 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 03 2018 STATUS approved

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Last modified May 15 06:46 EDT 2021. Contains 343909 sequences. (Running on oeis4.)