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A055340 Triangle of mobiles (circular rooted trees) with n nodes and k leaves. +0
9
1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 4, 3, 1, 0, 1, 6, 8, 4, 1, 0, 1, 9, 19, 16, 5, 1, 0, 1, 12, 37, 46, 25, 6, 1, 0, 1, 16, 66, 118, 96, 40, 7, 1, 0, 1, 20, 110, 260, 300, 184, 56, 8, 1, 0, 1, 25, 172, 527, 811, 688, 318, 80, 9, 1, 0, 1, 30, 257, 985, 1951, 2178, 1408, 524, 105, 10 (list; table; graph; listen)
OFFSET

1,8

LINKS

C. G. Bower, Transforms (2)

Index entries for sequences related to mobiles

FORMULA

G.f. satisfies A(x, y)=xy+x*CIK(A(x, y))-x. Shifts up under CIK transform.

EXAMPLE

1; 1,0; 1,1,0; 1,2,1,0; 1,4,3,1,0; ...

CROSSREFS

Row sums give A032200. Columns 2 through 8: A002620(n-1), A055341-A055346. Cf. A055347, A055348.

Sequence in context: A128307 A034369 A055277 this_sequence A119328 A058716 A048723

Adjacent sequences: A055337 A055338 A055339 this_sequence A055341 A055342 A055343

KEYWORD

nonn,tabl,eigen

AUTHOR

Christian G. Bower (bowerc(AT)usa.net), May 14 2000

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.


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