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 A318819 Number of rooted trees with n nodes such that four equals the maximal number of subtrees of the same size extending from the same node. 2
 0, 1, 1, 3, 8, 23, 61, 167, 461, 1288, 3593, 10084, 28381, 80218, 227156, 644864, 1834290, 5227297, 14919502, 42644478, 122047963, 349716506, 1003120145, 2880163515, 8276937322, 23805829084, 68521035251, 197365718477, 568859465838, 1640609651599, 4734261078026 (list; graph; refs; listen; history; text; internal format)
 OFFSET 4,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 4..2143 MAPLE g:= proc(n, i, k) option remember; `if`(n=0, 1, `if`(i<1, 0, add( binomial(g(i-1\$2, k)+j-1, j)*g(n-i*j, i-1, k), j=0..min(k, n/i)))) end: a:= n-> (k-> g(n-1\$2, k) -g(n-1\$2, k-1))(4): seq(a(n), n=4..34); CROSSREFS Column k=4 of A318754. Sequence in context: A108457 A071618 A318861 * A146998 A261329 A248870 Adjacent sequences: A318816 A318817 A318818 * A318820 A318821 A318822 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 04 2018 STATUS approved

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Last modified September 26 21:54 EDT 2023. Contains 365668 sequences. (Running on oeis4.)