A212890 - OEIS

%I #11 Jun 27 2017 15:46:11

%S 0,14,28,152,276,702,1128,2144,3160,5150,7140,10584,14028,19502,24976,

%T 33152,41328,52974,64620,80600,96580,117854,139128,166752,194376,

%U 229502,264628,308504,352380,406350,460320,525824,591328,669902

%N Number of (w,x,y,z) with all terms in {0,...,n} and odd range.

%C a(n) + A212889(n) = (n+1)^4.

%C For a guide to related sequences, see A211795.

%F a(n) = 2*a(n-1)+2*a(n-2)-6*a(n-3)+6*a(n-5)-2*a(n-6)-2*a(n-7)+a(n-8).

%F G.f.: f(x)/g(x), where f(x)=-7*x-34*x^3-7*x^5 and g(x)=((-1+x)^5)*(1+x)^3.

%t t = Compile[{{n, _Integer}}, Module[{s = 0}, (Do[If[(Mod[#, 2] == 1) &[Max[w, x, y, z] - Min[w, x, y, z]], s++], {w, 0, n}, {x, 0, n}, {y, 0, n}, {z, 0, n}]; s)]];

%t Map[t[#] &, Range[0, 40]]   (* A212890 *)

%t %/2 (* integers *)

%Y Cf. A211795, A212889.

%K nonn,easy

%O 0,2

%A _Clark Kimberling_, May 30 2012