[seqfan] Involving palindromes and sum-of-digits

Lars Blomberg larsl.blomberg at comhem.se
Mon Aug 22 15:36:18 CEST 2016



Hello,

 

In http://www.primepuzzles.net/puzzles/puzz_041.htm, section B the following
sequence is defined:

 

Palindrome1 / Sum-of-digits(Palindrome1) = Palindrome2.

 

First few terms (skipping the trivial 1..9):

 

Pal1                     SOD(Pal1)         Pal2

279972               36                        7777

2774772             36                        77077

5499945             45                        122221

25477452          36                        707707

27722772          36                        770077

254545452        36                        7070707

277202772        36                        7700077

279999972        63                        4444444

 

Is Pal1 sequence of interest?

If so, should Pal2 and SOD(Pal1)  be added as separate sequences?

 

Best regards,

Lars B



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