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 A256797 Nonpositive part of the minimal alternating squares representation of n. 2
 0, 2, 1, 0, 4, 4, 4, 1, 0, 10, 9, 4, 4, 4, 1, 0, 9, 11, 10, 9, 4, 4, 4, 1, 0, 20, 9, 9, 11, 10, 9, 4, 4, 4, 1, 0, 16, 20, 20, 9, 9, 11, 10, 9, 4, 4, 4, 1, 0, 18, 17, 16, 20, 20, 9, 9, 11, 10, 9, 4, 4, 4, 1, 0, 16, 16, 18, 17, 16, 20, 20, 9, 9, 11, 10, 9, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A256789 for definitions. LINKS Clark Kimberling, Table of n, a(n) for n = 1..1000 EXAMPLE R(1) = 1, positive part 1, nonpositive part 0; R(2) = 4 - 2, positive part 4, nonpositive part 2; R(3) = 4 - 1, positive part 4, nonpositive part 1; R(89) = 100 - 16 + 9 - 4, positive part 100 + 9 = 109, nonpositive part 16 + 4 = 20. MATHEMATICA b[n_] := n^2; bb = Table[b[n], {n, 0, 100}]; 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]]]; t = Table[r[n], {n, 1, z}] (* A256789 *) Table[Total[(Abs[r[n]] + r[n])/2], {n, 1, 120}]  (* A256796 *) Table[Total[(Abs[r[n]] - r[n])/2], {n, 1, 120}]  (* A256797 *) CROSSREFS Cf. A256789, A256796. Sequence in context: A077908 A052922 A181930 * A109167 A066426 A100887 Adjacent sequences:  A256794 A256795 A256796 * A256798 A256799 A256800 KEYWORD nonn,easy AUTHOR Clark Kimberling, Apr 13 2015 STATUS approved

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Last modified May 31 11:19 EDT 2020. Contains 334748 sequences. (Running on oeis4.)