The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A003744 Number of Hamiltonian paths in O_5 X P_n. 1
 36, 3960, 197172, 8372376, 313590732, 10961493288, 364496212992, 11715923002644, 367218115613412, 11297962590845364, 342721436917704060, 10284809936813182116, 306078425919342660924 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 REFERENCES F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Ars Combin. 49 (1998), 129-154. LINKS Sean A. Irvine, Table of n, a(n) for n = 1..100 F. Faase, On the number of specific spanning subgraphs of the graphs G X P_n, Preliminary version of paper that appeared in Ars Combin. 49 (1998), 129-154. F. Faase, Results from the counting program FORMULA a(1) = 36, a(2) = 3960, a(3) = 197172, a(4) = 8372376, a(5) = 313590732, a(6) = 10961493288, a(7) = 364496212992, a(8) = 11715923002644, a(9) = 367218115613412, a(10) = 11297962590845364, a(11) = 342721436917704060, a(12) = 10284809936813182116, a(13) = 306078425919342660924, a(14) = 9050314137435866812308, a(15) = 266262758895847900204044, a(16) = 7802857128214786920966468, a(17) = 227964188131745757879553596, a(18) = 6644168196971243295712163700, a(19) = 193287318120848681996183075244, a(20) = 5614785173559337471057013732388, a(21) = 162918194408431653609336890189340, a(22) = 4723043996602440520832973512325972, a(23) = 136828273928341927052870400623002380, and a(n) = 59a(n-1) - 731a(n-2) - 11403a(n-3) + 204688a(n-4) + 697232a(n-5) - 13575824a(n-6) + 15466532a(n-7) + 288258520a(n-8) - 1327022000a(n-9) + 1631290560a(n-10) + 3212771840a(n-11) - 12023726208a(n-12) + 9649896000a(n-13) + 11298643072a(n-14) - 24109594624a(n-15) + 6239014400a(n-16) + 14028280832a(n-17) - 8564428800a(n-18) - 2763866112a(n-19) + 2175729664a(n-20) + 199229440a(n-21) - 150994944a(n-22). CROSSREFS Sequence in context: A297021 A304459 A295595 * A163034 A184270 A187405 Adjacent sequences:  A003741 A003742 A003743 * A003745 A003746 A003747 KEYWORD nonn AUTHOR EXTENSIONS Added recurrence from Faase's web page. - N. J. A. Sloane, Feb 03 2009 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 26 22:58 EDT 2020. Contains 334634 sequences. (Running on oeis4.)