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A188789 Number of 6-step self-avoiding walks on an n X n X n X n 4-cube summed over all starting positions. 1
0, 4224, 174720, 1141248, 3974784, 10183872, 21725776, 41004288, 70869216, 114616384, 175987632, 259170816, 368799808, 509954496, 688160784, 909390592, 1180061856, 1507038528, 1897630576, 2359593984, 2901130752, 3530888896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Row 6 of A188784.

LINKS

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

FORMULA

Empirical: a(n) = 18584*n^4 - 82552*n^3 + 119616*n^2 - 64320*n + 9984 for n>4.

Conjectures from Colin Barker, Apr 29 2018: (Start)

G.f.: 16*x^2*(264 + 9600*x + 19368*x^2 - 1656*x^3 - 228*x^4 + 697*x^5 - 137*x^6 - 32*x^7) / (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>8.

(End)

CROSSREFS

Cf. A188784.

Sequence in context: A245316 A046335 A046383 * A170777 A294716 A097226

Adjacent sequences:  A188786 A188787 A188788 * A188790 A188791 A188792

KEYWORD

nonn

AUTHOR

R. H. Hardin, Apr 10 2011

STATUS

approved

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Last modified November 12 07:03 EST 2019. Contains 329052 sequences. (Running on oeis4.)