This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A353029 #29 May 22 2022 14:14:50 %S A353029 0,0,16,1152,16640,140800,887040,4616192,20987904,86261760,327782400, %T A353029 1169653760,3964207104,12869828608,40285306880,122211532800, %U A353029 360794030080,1040028008448,2935426646016,8130951905280,22146344550400,59411980615680,157208570494976 %N A353029 Number of copies of the star graph S(2,2,2) contained in the n-dimensional hypercube graph. %C A353029 S(2,2,2) is the star graph with three legs of length two. %H A353029 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (14,-84,280,-560,672,-448,128). %F A353029 a(n) = 2^n*C(n,3)*((n-1)^3 - 3*(n-1)). %F A353029 G.f.: 16*x^3*(1 + 58*x + 116*x^2 + 8*x^3)/(1 - 2*x)^7. - _Stefano Spezia_, Apr 20 2022 %o A353029 (Python) from math import comb %o A353029 def a(n): %o A353029 return (2**n)*comb(n,3)*((n-1)**3-3*(n-1)) %Y A353029 Cf. A352994, A352847. %K A353029 nonn,easy %O A353029 1,3 %A A353029 _Ben Eck_, Apr 20 2022