Please only submit really important sequences!

[N. J. A. Sloane]

Dear Neil, Richard, seqfans,

VERY occasionally
I came accross
to this uned (MY) Seq...

How did Richard managed not to send his Q/C
to me at least as CC I don't know.

Anyway his comment is relevant: 
true that a square of any nth triangular number is a
sum of n consecutive cubes 
STARTING WITH 1^+2^3+
while in A126200
there are first i1-th and final i2-th cubes with no
relation of (i1,i2) to (1,n).

I think,
the shortest way to "clarification"
is to add "Not-triangular" in definition as this:

%N A126200 Not-triangular numbers n such that n^2 is a
sum of consecutive cubes.

And Neil,
plz remove this ugly tags uned, obsc...


In general, 
I think it'd be considered as compulsory 
to commentators and editiors
to CC their mess'es to authors.

...Curiously enough, 
Richard and me had correspondence
(off-list) about that time...

Sorry to bother you all,
Zak 

  


%I A126200
%S A126200
8,27,64,125,204,216,312,315,323,343,504,512,588,720,729,1000,1331,1728,
%T A126200
2079,2170,2197,2744,2940,4472,4914,5187,5880,5984,6630,7497,8721,8778,
%U A126200
9360,10296,10695,11024,13104,14160,16380,18333
%N A126200 Numbers n such that n^2 is a sum of
consecutive cubes.
%C A126200 n^2=sum[i^3, (i=i1...i2)]; {n, i1=initial
index of cube, i2=final index of cube}: 
               {8, 4, 4}, {27, 9, 9}, {64, 16, 16},
{125, 25, 25}, {204, 23, 25}, 
               {216, 36, 36}, {312, 14, 25}, {315, 25,
29}, {323, 9, 25}, {343, 
               49, 49}, {504, 28, 35}, {512, 64, 64},
{588, 14, 34}, {720, 25, 39}, 
               {729, 81, 81}, {1000, 100, 100}, {1331,
121, 121}, {1728, 144, 144}, 
               {2079, 33, 65}, {2170, 96, 100}, {2197,
169, 169}, {2744, 196, 196}, 
               {2940, 118, 122}, {4472, 69, 100},
{4914, 81, 108}, {5187, 64, 105}, 
               {5880, 64, 111}, {5984, 120, 136},
{6630, 144, 156}, {7497, 25, 122}, 
               {8721, 153, 170}, {8778, 144, 164},
{9360, 111, 149}, {10296, 133, 
               164}, {10695, 81, 149}, {11024, 21,
148}, {13104, 105, 168}, {14160, 
               118, 177}, {16380, 78, 182}, {18333,
97, 194}
%C A126200 The definition appears to be incomplete,
since all triangular numbers A000217(i) 
               have squares [A000217(i)]^2=A000537(i)
which are sums of consecutive 
               cubes, but most triangular numbers seem
to be missing from the sequence. 
               - Richard J. Mathar
(mathar(AT)strw.leidenuniv.nl), Nov 02 2007
%e A126200 204^2=23^3+24^3+25^3,
312^2=14^3+15^3+...24^3+25^3;
%Y A126200 Cf. A126203.
%Y A126200 Adjacent sequences: A126197 A126198 A126199
this_sequence A126201 A126202 A126203
%Y A126200 Sequence in context: A062686 A093322
A017670 this_sequence A076989 A055012 A069939
%K A126200 more,nonn,uned,obsc
%O A126200 1,1
%A A126200 Zak Seidov (zakseidov(AT)gmail.com), Mar 11
2007



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