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A188787 Number of 4-step self-avoiding walks on an n X n X n X n 4-cube summed over all starting positions. 1
0, 576, 8928, 41984, 125840, 296064, 597632, 1084928, 1821744, 2881280, 4346144, 6308352, 8869328, 12139904, 16240320, 21300224, 27458672, 34864128, 43674464, 54056960, 66188304, 80254592, 96451328, 114983424, 136065200, 159920384 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Row 4 of A188784.
LINKS
FORMULA
Empirical: a(n) = 392*n^4 - 1128*n^3 + 912*n^2 - 192*n for n>2.
Conjectures from Colin Barker, Apr 28 2018: (Start)
G.f.: 16*x^2*(36 + 378*x + 194*x^2 - 35*x^3 + 19*x^4 - 4*x^5) / (1 - x)^5.
a(n) = 5*a(n-1) - 10*a(n-2) + 10*a(n-3) - 5*a(n-4) + a(n-5) for n>7.
(End)
CROSSREFS
Cf. A188784.
Sequence in context: A268797 A036514 A269034 * A235738 A236078 A264524
KEYWORD
nonn
AUTHOR
R. H. Hardin, Apr 10 2011
STATUS
approved

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Last modified March 28 04:13 EDT 2024. Contains 371235 sequences. (Running on oeis4.)