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A000569 Number of graphical partitions of 2n. +0
15
1, 2, 5, 9, 17, 31, 54, 90, 151, 244, 387, 607, 933, 1420, 2136, 3173, 4657, 6799, 9803, 14048, 19956, 28179, 39467, 54996, 76104, 104802, 143481, 195485, 264941, 357635, 480408, 642723, 856398, 1136715, 1503172, 1980785 (list; graph; listen)
OFFSET

1,2

LINKS

T. D. Noe, Table of n, a(n) for n = 1..585

T. M. Barnes and C. D. Savage, A recurrence for counting graphical partitions, Electronic J. Combinatorics, 2 (1995)

Axel Kohnert, Dominance Order and Graphical Partitions, Electronic J. Combinatorics, 11 (2004)

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Index entries for sequences related to graphical partitions

MATHEMATICA

<< MathWorld`Graphs`

Table[Count[RealizeDegreeSequence /@ Partitions[n], _Graph], {n, 2, 20, 2}]

CROSSREFS

Cf. A004250, A004251, A029889.

Sequence in context: A133470 A129696 A082281 this_sequence A115851 A163734 A019135

Adjacent sequences: A000566 A000567 A000568 this_sequence A000570 A000571 A000572

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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