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A256794 First differences of A256792.

%I A256794 #8 Sep 26 2016 21:44:07
%S A256794 3,2,1,2,2,2,1,2,1,3,2,1,2,1,2,3,2,1,2,1,2,2,3,2,1,2,3,2,2,3,2,1,2,2,
%T A256794 3,2,2,3,2,1,2,1,3,3,2,2,3,2,1,2,2,1,3,3,2,2,3,2,1,2,2,2,1,3,3,2,2,3,
%U A256794 2,1,2,1,3,2,1,3,3,2,2,3,2,1,2,3,3,2
%N A256794 First differences of A256792.
%e A256794 R(0) = 0;
%e A256794 R(1) = 1;
%e A256794 R(2) = 4 - 2;
%e A256794 R(3) = 4 - 1;
%e A256794 R(4) = 4;
%e A256794 R(5) = 9 - 4.
%t A256794 b[n_] := n^2; bb = Table[b[n], {n, 0, 1000}];  (* Squares as base *)
%t A256794 s[n_] := Table[b[n], {k, 1, 2 n - 1}];
%t A256794 h[1] = {1}; h[n_] := Join[h[n - 1], s[n]];
%t A256794 g = h[100]; r[0] = {0}; r[1] = {1}; r[2] = {4, -2};
%t A256794 r[n_] := If[MemberQ[bb, n], {n}, Join[{g[[n]]}, -r[g[[n]] - n]]];
%t A256794 Table[r[n], {n, 0, 120}]; (* A256789 *)
%t A256794 u = Flatten[Table[Last[r[n]], {n, 1, 1000}]];  (* A256791 *)
%t A256794 u1 = Select[Range[800], u[[#]] > 0 &]; (* A256792 *)
%t A256794 u2 = Select[Range[800], u[[#]] < 0 &]; (* A256793 *)
%t A256794 Differences[u1]  (* A256794 *)
%t A256794 Differences[u2]  (* A256795 *)
%Y A256794 Cf. A256792, A256795.
%K A256794 nonn,easy
%O A256794 1,1
%A A256794 _Clark Kimberling_, Apr 13 2015