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A318799
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Number of rooted trees with n nodes such that no more than five subtrees of the same size extend from the same node.
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2
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0, 1, 1, 2, 4, 9, 20, 47, 113, 281, 706, 1807, 4671, 12223, 32245, 85777, 229670, 618732, 1675523, 4558995, 12456746, 34166520, 94034681, 259621349, 718846409, 1995609079, 5553497132, 15489246752, 43290735944, 121226413303, 340079037154, 955633681302
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OFFSET
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0,4
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LINKS
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MAPLE
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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(5, n/i))))
end:
a:= n-> g((n-1)$2):
seq(a(n), n=0..40);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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