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A158074 Number of (directed) Hamiltonian cycles on a 3 X (2n) knight's tour graph. 3
0, 0, 0, 0, 32, 352, 3072, 30848, 295456, 2896832, 28120096, 273895232, 2664515712, 25931157504, 252338724352, 2455552258304, 23895692937216, 232533011307776, 2262837745837568, 22020130538878208, 214282979451801088, 2085233793265765376, 20291876152214982656 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,5
LINKS
Eric Weisstein's World of Mathematics, Knight's Tour
FORMULA
a(n) = 2*A070030(n).
a(n) = 6*a(n-1) + 64*a(n-2) - 200*a(n-3) - 1000*a(n-4) + 3016*a(n-5) + 3488*a(n-6) - 24256*a(n-7) + 23776*a(n-8) + 104168*a(n-9) - 203408*a(n-10) - 184704*a(n-11) + 443392*a(n-12) + 14336*a(n-13) - 151296*a(n-14) + 145920*a(n-15) - 263424*a(n-16) + 317440*a(n-17) + 36864*a(n-18) - 966656*a(n-19) + 573440*a(n-20) + 131072*a(n-21), for n>=23. (See A070030) - Seiichi Manyama, Dec 16 2016
CROSSREFS
Cf. A070030 for details and references.
Sequence in context: A254953 A335612 A006763 * A200531 A302320 A303014
KEYWORD
nonn
AUTHOR
Eric W. Weisstein, Mar 13 2009
EXTENSIONS
Extended by Eric W. Weisstein, Mar 18 2009
STATUS
approved

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Last modified March 29 01:36 EDT 2024. Contains 371264 sequences. (Running on oeis4.)