login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A193757 Numbers which can be written with their digits in order and using only a plus and a squaring operator. 1

%I #34 Aug 13 2020 14:02:28

%S 1,2,3,4,5,6,7,8,9,81,89,136,264,333,337,425,441,445,1250,1251,1252,

%T 1253,1254,1255,1256,1257,1258,1259,1306,1346,1386,1521,1525,1634,

%U 1636,1674,1693,1745,2025,2116,2225,2401,2403,2407,2465,2536,2576,2601,2624

%N Numbers which can be written with their digits in order and using only a plus and a squaring operator.

%C Erich Friedman calls them S-numbers. It was proved that such numbers are infinitely many but their density is 0.

%H Erich Friedman, <a href="https://erich-friedman.github.io/mathmagic/0803.html">Problem of the Month, August 2003</a>

%e 81 = (8 + 1)^2.

%e 89 = 8 + 9^2.

%e 136 = (1 + 3^2)^2 + 6^2.

%e 264 = 2 + 6 + (4^2)^2.

%K nonn,base

%O 1,2

%A _Kausthub Gudipati_, Aug 31 2011

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 03:15 EDT 2024. Contains 371964 sequences. (Running on oeis4.)