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A055340
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Triangle read by rows: number of mobiles (circular rooted trees) with n nodes and k leaves.
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8
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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; refs; listen; history; internal format)
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OFFSET
| 1,8
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LINKS
| C. G. Bower, Transforms (2)
Index entries for sequences related to mobiles
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FORMULA
| G.f. satisfies A(x, y)=xy+x*CIK(A(x, y))-x. Shifts up under CIK transform.
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EXAMPLE
| 1;
1,0;
1,1,0;
1,2,1,0;
1,4,3,1,0;
1,6,8,4,1,0;
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CROSSREFS
| Row sums give A032200. Columns 2 through 8: A002620(n-1), A055341-A055346. Cf. A055347, A055348.
Sequence in context: A128307 A034369 A055277 * A119328 A058716 A048723
Adjacent sequences: A055337 A055338 A055339 * A055341 A055342 A055343
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KEYWORD
| nonn,tabl,eigen
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AUTHOR
| Christian G. Bower (bowerc(AT)usa.net), May 14 2000
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