# [seqfan] Re: Anagrams of triangular numbers

zak seidov zakseidov at yahoo.com
Sun Oct 18 02:50:01 CEST 2009

```Yes, you are right!

My silly copy-paste typos...,
correct are these (coinciding with yours for sure):

n=15, {103428153, 132104385, 138453120, 142830351, 145138203,
148531230, 158304321, 213304185, 254330181, 318415230, 324118530, 341532180,
403123815, 432018315, 523148031}

n=18, {100174935, 101709453, 103975410, 114950703, 130597041,
139470051, 140071953, 140759031, 175340901, 190134750, 319400175, 435907101,
470309115, 495070311, 574011903, 597110403, 794350011, 951374010}}

Hence the corrected list in A166596  is:

%S A166596
0,120,4095,36046,147153,219453,1021735,1053426,104653,10149765,
%T A166596
10294453,10348975,100486576,10725396,103428153,20759346,12347965,
%U A166596
100174935, 129548656,102968425,104697685,102925378
%N A166596 Smallest triangular number exactly n
anagrams of which are triangular numbers.

I'll resend to Neil these corrected entries.

--- On Sat, 10/17/09, Hans Havermann <pxp at rogers.com> wrote:

> From: Hans Havermann <pxp at rogers.com>
> Subject: [seqfan] Re: Anagrams of triangular numbers
> To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
> Date: Saturday, October 17, 2009, 8:08 PM
> zak seidov wrote:
>
> > %S A166596
> >
> 0,120,4095,36046,147153,219453,1021735,1053426,104653,10149765,
> > %T A166596
> >
> 10294453,10348975,100486576,10725396,104379576,20759346,12347965,
> > %U A166596
> 101495628,129548656,102968425,104697685,102925378
> > %N A166596 Smallest triangular number exactly n
> anagrams of which
> > are triangular numbers.
>
> First off, I know that A000217 starts with 0, but A068094
> states that
> there are only 3 one-digit triangular numbers, which would
> exclude
> zero. Looking at a couple of "encyclopedic" entries on the
> web, the
> tendency is to make 1 the first triangular number,
> A000217
> 104379576, I have
> 100174935.
> I'm unable to access my program for a day or so because I'm
> running
> something else. Can you check those two differences on your
> program?
>

```