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Revision History for A020879

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Showing entries 1-10 | older changes
Number of elementary edge-subgraphs in Moebius ladder M_n.
(history; published version)
#16 by Susanna Cuyler at Fri Dec 20 14:52:35 EST 2019
STATUS

reviewed

approved

#15 by G. C. Greubel at Fri Dec 20 13:43:54 EST 2019
STATUS

proposed

reviewed

#14 by Colin Barker at Fri Dec 20 12:16:25 EST 2019
STATUS

editing

proposed

#13 by Colin Barker at Fri Dec 20 12:15:45 EST 2019
FORMULA

Conjectures from Colin Barker, Dec 20 2019: (Start)

G.f.: x^2*(17 - 10*x - 85*x^2 - 51*x^3 + 10*x^4 + 7*x^5) / ((1 + x)*(1 - 2*x - x^2)*(1 - 3*x - 2*x^2 + x^3)).

a(n) = 4*a(n-1) + 2*a(n-2) - 11*a(n-3) - 8*a(n-4) + a(n-5) + a(n-6) for n>7.

(End)

STATUS

approved

editing

#12 by Alois P. Heinz at Wed May 01 17:28:00 EDT 2019
STATUS

proposed

approved

#11 by Sean A. Irvine at Wed May 01 17:00:26 EDT 2019
STATUS

editing

proposed

Discussion
Wed May 01
17:27
Alois P. Heinz: ok.
#10 by Sean A. Irvine at Wed May 01 16:59:23 EDT 2019
KEYWORD

nonn,easy,changed

Discussion
Wed May 01
17:00
Sean A. Irvine: There is a formula, but I don't think it qualifies as "easy" since you need to forms sums and products over integer compositions.  It took a day to get the above terms.
#9 by Sean A. Irvine at Wed May 01 16:57:11 EDT 2019
DATA

17, 58, 181, 602, 2006, 6797, 23205, 79771, 275462, 954367, 3314074, 11526782, 40136519, 139865123, 487656165, 1700907382, 5934174209, 20707036102, 72265263946, 252219473921, 880346196329, 3072884622527, 10726335768378, 37442520667627, 130702738526702

LINKS

Sean A. Irvine, <a href="https://github.com/archmageirvine/joeis/blob/master/src/irvine/oeis/a020/A020879.java">Java program</a> (github).

KEYWORD

nonn,easy,more

EXTENSIONS

a(6)-a(26) from Sean A. Irvine, May 01 2019

STATUS

approved

editing

#8 by R. J. Mathar at Wed Jul 17 12:39:17 EDT 2013
STATUS

editing

approved

#7 by R. J. Mathar at Wed Jul 17 12:21:35 EDT 2013
REFERENCES

J. P. McSorley, Counting structures in the Moebius ladder, Discrete Math., 184 (1998), 137-164.

LINKS

J. P. McSorley, <a href="http://dx.doi.org/10.1016/S0012-365X(97)00086-1">Counting structures in the Moebius ladder</a>, Discrete Math., 184 (1998), 137-164.

STATUS

approved

editing