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Search: id:A101486
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A101486 Square array T(n,k), read by antidiagonals: number of labeled trees, with increments of labels along edges constrained to -1,0,1, with n nodes that have no label greater than k. +0
1
1, 1, 2, 1, 3, 9, 1, 3, 17, 54, 1, 3, 18, 119, 378, 1, 3, 18, 134, 932, 2916, 1, 3, 18, 135, 1111, 7838, 24057, 1, 3, 18, 135, 1133, 9833, 69275, 208494, 1, 3, 18, 135, 1134, 10176, 90959, 635279, 1876446, 1, 3, 18, 135, 1134, 10205, 95635, 868827 (list; table; graph; listen)
OFFSET

0,3

LINKS

M. Bousquet-Melou, Limit laws for embedded trees

FORMULA

G.f. of k-th row: A(t)=B(t)*(1-C(t)^(k+1))*(1-C(t)^(k+4))/[(1-C(t)^(k+2))*(1-C(t)^(k+3))], with B(t) the g.f. of A005159 and C(t) the g.f. of A101487.

EXAMPLE

1,2,9,54,378,2916,24057,208494,1876446,17399772,

1,3,17,119,932,7838,69275,635279,5994584,57872666,

1,3,18,134,1111,9833,90959,868827,8504314,84866778,

1,3,18,135,1133,10176,95635,928442,9236144,93646430,

1,3,18,135,1134,10205,96191,937361,9365984,95427597,

1,3,18,135,1134,10206,96227,938179,9381050,95673739,

1,3,18,135,1134,10206,96228,938222,9382179,95697199,

1,3,18,135,1134,10206,96228,938223,9382229,95698688,

CROSSREFS

Rows converge to A005159. First row is A000168.

Sequence in context: A078045 A057300 A076655 this_sequence A086606 A076112 A122454

Adjacent sequences: A101483 A101484 A101485 this_sequence A101487 A101488 A101489

KEYWORD

nonn,tabl

AUTHOR

Ralf Stephan, Jan 21 2005

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.


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