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A052325 Number of asymmetric rooted trees with a forbidden limb of length 3. 0
1, 1, 1, 1, 1, 2, 4, 8, 15, 30, 60, 122, 249, 513, 1061, 2210, 4620, 9708, 20472, 43337, 92023, 196018, 418653, 896485, 1924154, 4139014, 8921349, 19266067, 41679483, 90318082, 196020800, 426055601, 927317334, 2020949226, 4409764169 (list; graph; refs; listen; history; internal format)
OFFSET

1,6

COMMENTS

A rooted tree with a forbidden limb of length k is a rooted tree where the path from any leaf inward hits a branching node or the root within k steps.

LINKS

N. J. A. Sloane, Transforms

Index entries for sequences related to rooted trees

FORMULA

a(n) satisfies a=SHIFT_RIGHT(WEIGH(a-b)) where b(3)=1, b(k)=0 if k != 3.

CROSSREFS

Cf. A002955, A002988-A002992, A052318-A052329.

Sequence in context: A124312 A068030 A191497 * A092603 A086125 A061030

Adjacent sequences:  A052322 A052323 A052324 * A052326 A052327 A052328

KEYWORD

nonn,eigen

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), Dec 15 1999.

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Last modified February 17 10:05 EST 2012. Contains 206009 sequences.