login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A187170 Number of 9-step self-avoiding walks on a n X n X n cube summed over all starting positions. 2

%I

%S 0,0,167016,2013360,8227752,21274896,43422072,76964016,124223214,

%T 187527168,269203674,371580528,496985526,647746464,826191138,

%U 1034647344,1275442878,1550905536,1863363114,2215143408,2608574214,3045983328

%N Number of 9-step self-avoiding walks on a n X n X n cube summed over all starting positions.

%C Row 9 of A187162.

%H R. H. Hardin, <a href="/A187170/b187170.txt">Table of n, a(n) for n = 1..50</a>

%F Empirical: a(n) = 387966*n^3 - 2452704*n^2 + 4766544*n - 2833872 for n>7.

%F Conjectures from _Colin Barker_, Apr 21 2018: (Start)

%F G.f.: 6*x^3*(27836 + 224216*x + 196068*x^2 - 37336*x^3 - 32904*x^4 + 4576*x^5 + 4625*x^6 + 836*x^7 + 49*x^8) / (1 - x)^4.

%F a(n) = 4*a(n-1) - 6*a(n-2) + 4*a(n-3) - a(n-4) for n>11.

%F (End)

%Y Cf. A187162.

%K nonn,walk

%O 1,3

%A _R. H. Hardin_, Mar 06 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 12:28 EST 2021. Contains 349419 sequences. (Running on oeis4.)