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A241836 Squares-greedy summable squares. 4
25, 49, 81, 121, 169, 225, 324, 361, 441, 529, 625, 729, 900, 1024, 1089, 1225, 1369, 1521, 1681, 1849, 2116, 2304, 2401, 2601, 2809, 3025, 3249, 3481, 3721, 3969, 4356, 4624, 4761, 5041, 5329, 5625, 5929, 6241, 6561, 6889, 7225, 7569, 8100, 8464, 8649, 9025 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Greedy summability is introduced at A241833.

LINKS

Clark Kimberling, Table of n, a(n) for n = 2..1000

EXAMPLE

5^2 = 4^2 + 3^2; 7^2 = 6^2 + 3^2 + 3^2; 9^2 = 8^2 + 4^2 + 1^2.

MATHEMATICA

z = 200;  s = Table[n^2, {n, 1, z}]; t = Table[{s[[n]], #, Total[#] == s[[n]]} &[DeleteCases[-Differences[FoldList[If[#1 - #2 >= 0, #1 - #2, #1] &, s[[n]], Reverse[Select[s, # < s[[n]] &]]]], 0]], {n, z}]; r[n_] := s[[n]] - Total[t[[n]][[2]]]; tr =  Table[r[n], {n, 2, z}]  (* A241833 *)

c = Table[Length[t[[n]][[2]]], {n, 2, z}] (* A241834 *)

f = 1 + Flatten[Position[tr, 0]]  (* A241835 *)

f^2  (* A241836 *) (* Peter J. C. Moses, May 06 2014 *)

CROSSREFS

Cf. A241832, A241835, A241835, A000290.

Sequence in context: A018936 A212190 A324871 * A110484 A110013 A109861

Adjacent sequences:  A241833 A241834 A241835 * A241837 A241838 A241839

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, May 09 2014

STATUS

approved

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Last modified June 15 22:19 EDT 2019. Contains 324145 sequences. (Running on oeis4.)