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Revision History for A003752

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Showing entries 1-10 | older changes
Number of Hamiltonian paths in C_4 X P_n.
(history; published version)
#29 by Charles R Greathouse IV at Thu Sep 08 08:44:32 EDT 2022
PROG

(MAGMAMagma) I:=[4, 72, 584, 4016, 24656, 140624, 761960, 3976704]; [n le 8 select I[n] else 11*Self(n-1)-36*Self(n-2)+16*Self(n-3)+67*Self(n-4)-9*Self(n-5)-10*Self(n-6)+2*Self(n-7): n in [1..30]]; // Vincenzo Librandi, Oct 14 2013

Discussion
Thu Sep 08
08:44
OEIS Server: https://oeis.org/edit/global/2944
#28 by Charles R Greathouse IV at Tue Jun 23 14:32:18 EDT 2020
STATUS

editing

approved

#27 by Charles R Greathouse IV at Tue Jun 23 14:32:05 EDT 2020
LINKS

<a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (11,-36,16,67,-9,-10,2).

FORMULA

G.f.: -4*x*(2*x^7 +4*x^6 -37*x^5 +21*x^4 +30*x^3 -16*x^2 +7*x +1)/((x +1)*(x^2 -4*x +1)^2*(2*x^2 +4*x -1)). [_- _Colin Barker_, Aug 30 2012]

STATUS

approved

editing

#26 by N. J. A. Sloane at Tue Jan 01 06:31:05 EST 2019
LINKS

F. Faase, <a href="http://www.iwriteiam.nl/counting.html">Counting Hamilton Hamiltonian cycles in product graphs</a>

Discussion
Tue Jan 01
06:31
OEIS Server: https://oeis.org/edit/global/2784
#25 by Harvey P. Dale at Fri May 04 12:32:15 EDT 2018
STATUS

editing

approved

#24 by Harvey P. Dale at Fri May 04 12:32:06 EDT 2018
MATHEMATICA

LinearRecurrence[{11, -36, 16, 67, -9, -10, 2}, {4, 72, 584, 4016, 24656, 140624, 761960, 3976704}, 30] (* Harvey P. Dale, May 04 2018 *)

STATUS

approved

editing

#23 by Charles R Greathouse IV at Sat Jun 13 00:48:08 EDT 2015
LINKS

<a href="/index/Rec">Index to sequences with entries for linear recurrences with constant coefficients</a>, signature (11,-36,16,67,-9,-10,2).

Discussion
Sat Jun 13
00:48
OEIS Server: https://oeis.org/edit/global/2439
#22 by Charles R Greathouse IV at Fri Jun 12 15:23:04 EDT 2015
LINKS

<a href="/index/Rea#recLCCRec">Index to sequences with linear recurrences with constant coefficients</a>, signature (11,-36,16,67,-9,-10,2).

Discussion
Fri Jun 12
15:23
OEIS Server: https://oeis.org/edit/global/2436
#21 by R. J. Mathar at Sun Dec 22 10:11:22 EST 2013
STATUS

editing

approved

#20 by R. J. Mathar at Sun Dec 22 10:11:19 EST 2013
LINKS

F. Faase, <a href="http://home.wxs.nl/~faase009/counting.html">Counting Hamilton cycles in product graphs</a>

EXTENSIONS

More terms from Vincenzo Librandi, Oct 14 2013

STATUS

approved

editing