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Search: id:A050929
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A050929 Number of directed multigraphs with loops on 4 nodes with n arcs. +0
5
1, 2, 11, 47, 198, 713, 2423, 7388, 21003, 55433, 137944, 324659, 729022, 1567139, 3242954, 6479759, 12547894, 23607614, 43267994, 77405064, 135435666, 232137202, 390371944, 644897542, 1047890293, 1676518363, 2643628813 (list; graph; listen)
OFFSET

0,2

FORMULA

G.f.: (x^26-x^25 + 4*x^24 + 18*x^23 + 63*x^22 + 151*x^21 + 402*x^20 + 790*x^19 + 1511*x^18 + 2353*x^17 + 3400*x^16 + 4296*x^15 + 5115*x^14 + 5266*x^13 + 5115*x^12 + 4296*x^11 + 3400*x^10 + 2353*x^9 + 1511*x^8 + 790*x^7 + 402*x^6 + 151*x^5 + 63*x^4 + 18*x^3 + 4*x^2-x + 1)/((x^4-1)^4*(x^3-1)^5*(x^2-1)^4*(x-1)^3).

CROSSREFS

Cf. A005993.

Sequence in context: A142346 A106980 A089682 this_sequence A019005 A112288 A003442

Adjacent sequences: A050926 A050927 A050928 this_sequence A050930 A050931 A050932

KEYWORD

easy,nonn

AUTHOR

Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 30 1999

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Last modified November 27 14:50 EST 2009. Contains 167570 sequences.


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