login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Primitive elements of A060355: n such that n and n+1 are powerful but n is not of the form 4m(m+1) where m and m+1 are powerful.
2

%I #14 Nov 11 2013 21:19:23

%S 8,675,9800,12167,235224,465124,11309768,4931691075,5425069447,

%T 13051463048,8192480787000,11968683934831,15061377048200,

%U 28821995554247

%N Primitive elements of A060355: n such that n and n+1 are powerful but n is not of the form 4m(m+1) where m and m+1 are powerful.

%C This sequence is infinite. See the comment dated Nov 19 2012 in A060355. - _Franklin T. Adams-Watters_, Nov 09 2013

%H Donovan Johnson, <a href="/A199801/b199801.txt">Table of n, a(n) for n = 1..24</a> (terms < 10^22)

%e 8 and 9 are powerful and although 8 = 4*1*(1+1), 1+1 is not powerful so 8 is in this sequence.

%e 288 and 289 are powerful but 288 = 4*8*(8+1) and both 8 and 8+1 are powerful so 288 is not in this sequence.

%e 675 and 676 are powerful and 675 is not of the form 4m(m+1) so 675 is in this sequence.

%Y Subsequence of A060355 and hence of A001694.

%K nonn

%O 1,1

%A _Charles R Greathouse IV_, Nov 10 2011