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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 December 11 04:29 EST 2018. Contains 318049 sequences. (Running on oeis4.)