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 A244463 Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 9. 3
 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 4, 7, 12, 16, 21, 25, 30, 34, 39, 47, 61, 83, 117, 160, 215, 280, 356, 442, 549, 682, 864, 1112, 1458, 1919, 2533, 3313, 4298, 5521, 7057, 8995, 11497, 14751, 19042, 24687, 32102, 41731, 54172, 70112, 90535 (list; graph; refs; listen; history; text; internal format)
 OFFSET 10,11 LINKS Alois P. Heinz, Table of n, a(n) for n = 10..900 MAPLE b:= proc(n, i, t, k) option remember; `if`(n=0, `if`(t in [0, k], 1, 0), `if`(i<1 or t>n, 0, add(binomial(b((i-1)\$2, k\$2)+j-1, j)* b(n-i*j, i-1, max(0, t-j), k), j=0..n/i))) end: a:= n-> b(n-1\$2, 9\$2) -b(n-1\$2, 10\$2): seq(a(n), n=10..75); CROSSREFS Column k=9 of A244454. Cf. A244538. Sequence in context: A248774 A104274 A008857 * A307590 A307987 A047935 Adjacent sequences: A244460 A244461 A244462 * A244464 A244465 A244466 KEYWORD nonn AUTHOR Joerg Arndt and Alois P. Heinz, Jun 29 2014 STATUS approved

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Last modified December 3 19:10 EST 2023. Contains 367540 sequences. (Running on oeis4.)