OFFSET
0,3
COMMENTS
See A256789 for definitions.
LINKS
Clark Kimberling, Table of n, a(n) for n = 0..1000
EXAMPLE
R(0) = 0, so a(0) = 1;
R(1) = 1, so a(1) = 1;
R(2) = 4 - 2, so a(2) = 2;
R(7) = 9 - 4 + 2, so a(7) = 3;
R(89) = 100 - 16 + 9 - 4, so a(89) = 4.
MATHEMATICA
b[n_] := n^2; bb = Table[b[n], {n, 0, 1000}];
s[n_] := Table[b[n], {k, 1, 2 n - 1}];
h[1] = {1}; h[n_] := Join[h[n - 1], s[n]];
g = h[100]; r[0] = {0}; r[1] = {1}; r[2] = {4, -2};
r[n_] := If[MemberQ[bb, n], {n}, Join[{g[[n]]}, -r[g[[n]] - n]]];
Table[r[n], {n, 0, 120}] (* A256789 *)
Flatten[Table[Length[r[n]], {n, 0, 1000}]] (* A256790 *)
CROSSREFS
KEYWORD
nonn,easy
AUTHOR
Clark Kimberling, Apr 13 2015
STATUS
approved