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 A318820 Number of rooted trees with n nodes such that five equals the maximal number of subtrees of the same size extending from the same node. 2
 0, 1, 1, 3, 8, 22, 61, 168, 465, 1302, 3659, 10333, 29255, 83096, 236609, 675311, 1931235, 5532421, 15873557, 45608348, 131208906, 377906025, 1089573851, 3144456980, 9082730826, 26256633715, 75960348880, 219905556560, 637038643771, 1846531053341, 5355395451034 (list; graph; refs; listen; history; text; internal format)
 OFFSET 5,4 LINKS Alois P. Heinz, Table of n, a(n) for n = 5..2138 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))(5): seq(a(n), n=5..35); CROSSREFS Column k=5 of A318754. Sequence in context: A014397 A048503 A318862 * A200752 A279378 A048579 Adjacent sequences: A318817 A318818 A318819 * A318821 A318822 A318823 KEYWORD nonn AUTHOR Alois P. Heinz, Sep 04 2018 STATUS approved

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Last modified November 30 23:17 EST 2023. Contains 367463 sequences. (Running on oeis4.)