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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

R. H. Hardin, Table of n, a(n) for n = 1..43

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

Adjacent sequences:  A188784 A188785 A188786 * A188788 A188789 A188790

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 10 2011

STATUS

approved

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Last modified November 21 06:00 EST 2019. Contains 329350 sequences. (Running on oeis4.)