A199801 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.

8, 675, 9800, 12167, 235224, 465124, 11309768, 4931691075, 5425069447, 13051463048, 8192480787000, 11968683934831, 15061377048200, 28821995554247

Offset

1,1

Comments

This sequence is infinite. See the comment dated Nov 19 2012 in A060355. - Franklin T. Adams-Watters, Nov 09 2013

Links

Donovan Johnson, Table of n, a(n) for n = 1..24 (terms < 10^22)

Example

8 and 9 are powerful and although 8 = 4*1*(1+1), 1+1 is not powerful so 8 is in this sequence.
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.
675 and 676 are powerful and 675 is not of the form 4m(m+1) so 675 is in this sequence.

Crossrefs

Subsequence of A060355 and hence of A001694.

Sequence in context: A286394 A101180 A128875 * A278857 A334088 A343191

Adjacent sequences: A199798 A199799 A199800 * A199802 A199803 A199804

Keyword

nonn

Author

Charles R Greathouse IV, Nov 10 2011

Status

approved