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!)
A175651 Numbers n with property that sopf(n)+sopf(n+1) is a square. 3

%I #7 Oct 12 2019 12:23:07

%S 7,11,22,32,55,77,111,140,147,168,175,186,189,191,242,259,284,309,363,

%T 364,365,382,391,395,399,426,455,461,519,527,538,554,604,620,639,692,

%U 719,728,745,748,805,813,861,862,873,958,964,988,991,1037,1109,1122

%N Numbers n with property that sopf(n)+sopf(n+1) is a square.

%C Or, A175649(n) is a square.

%C Or, positions of squares in A175649.

%C or, A008472(n)+A008472(n+1) is a square. Squares are in A175652.

%C Prime factors counted without multiplicity. - _Harvey P. Dale_, Jan 15 2017

%H Amiram Eldar, <a href="/A175651/b175651.txt">Table of n, a(n) for n = 1..10000</a>

%t Position[Partition[Table[Total[FactorInteger[n][[All,1]]],{n,1200}], 2,1],_?(IntegerQ[Sqrt[Total[#]]]&)]//Quiet//Flatten (* _Harvey P. Dale_, Jan 15 2017 *)

%Y Cf. A008472, A175649, A175652.

%K nonn

%O 1,1

%A _Zak Seidov_, Aug 03 2010

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 24 06:03 EDT 2024. Contains 371918 sequences. (Running on oeis4.)