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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. 2
8, 675, 9800, 12167, 235224, 465124, 11309768, 4931691075, 5425069447, 13051463048, 8192480787000, 11968683934831, 15061377048200, 28821995554247 (list; graph; refs; listen; history; text; internal format)
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 A202910 A168130

Adjacent sequences:  A199798 A199799 A199800 * A199802 A199803 A199804

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Nov 10 2011

STATUS

approved

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Last modified June 28 16:56 EDT 2017. Contains 288839 sequences.