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A003740 Number of spanning trees with degrees 1 and 3 in W_5 X P_2n. 1
208, 335344, 503672968, 757005488704, 1137734095903816, 1709944335224262352, 2569941155563565968488, 3862463470575397280285088, 5805045002479537990606632936 (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
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.
FORMULA
If b(n) denotes the number of spanning trees with degrees 1 and 3 in W_5 X P_n we have:
b(1) = 0,
b(2) = 208,
b(3) = 0,
b(4) = 335344,
b(5) = 0,
b(6) = 503672968,
b(7) = 0,
b(8) = 757005488704,
b(9) = 0,
b(10) = 1137734095903816,
b(11) = 0,
b(12) = 1709944335224262352,
b(13) = 0,
b(14) = 2569941155563565968488,
b(15) = 0,
b(16) = 3862463470575397280285088,
b(17) = 0,
b(18) = 5805045002479537990606632936,
b(19) = 0,
b(20) = 8724625549856078166453269723376,
b(21) = 0,
b(22) = 13112575518826856642901203139743240,
b(23) = 0,
b(24) = 19707394403851935411114869745719526144,
b(25) = 0,
b(26) = 29619001517386258600018494299567252781896,
b(27) = 0,
b(28) = 44515537310983054901068606912734277302893072,
b(29) = 0,
b(30) = 66904114270101652083096747543361961556161338280,
b(31) = 0,
b(32) = 100552768239022085083137539569611934600600485769824,
b(33) = 0,
b(34) = 151124625306471850563573728012268031905685321872309416,
b(35) = 0,
b(36) = 227131015624872535892492790329036203871753015873169846576,
b(37) = 0,
b(38) = 341363944851262010688127945467040823127463725134532755058760,
b(39) = 0,
b(40) = 513049010606610528824074852666729120665123598849369486838352320,
b(41) = 0,
b(42) = 771081103480659083177648561305159418338110532879217116850112505608,
b(43) = 0,
b(44) = 1158887466602766746036049127283646002598030062997458201209529788050000, and
b(n) = 1498b(n-2) + 9727b(n-4) - 3430420b(n-6) - 51780334b(n-8) + 2175631056b(n-10)
- 3049771912b(n-12) + 20785260864b(n-14) - 885420351008b(n-16) + 2723994857536b(n-18) + 5274700679360b(n-20)
+ 125883661338368b(n-22) + 354089303896576b(n-24) - 880465464686592b(n-26) - 28529345908736b(n-28) + 3938132497694720b(n-30)
- 1757770863747072b(n-32) - 1334108047147008b(n-34) - 337906312937472b(n-36) - 49853396680704b(n-38) - 3371549327360b(n-40).
CROSSREFS
Sequence in context: A184276 A268091 A209300 * A303688 A080532 A153442
KEYWORD
nonn
AUTHOR
EXTENSIONS
Added recurrence from Faase's web page. - N. J. A. Sloane, Feb 03 2009
STATUS
approved

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Last modified May 23 05:11 EDT 2024. Contains 372758 sequences. (Running on oeis4.)