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A147857
Differences of two positive 4th powers.
12
0, 15, 65, 80, 175, 240, 255, 369, 544, 609, 624, 671, 1040, 1105, 1215, 1280, 1295, 1695, 1776, 2145, 2320, 2385, 2400, 2465, 2800, 3439, 3471, 3840, 4015, 4080, 4095, 4160, 4641, 5265, 5904, 5936, 6095, 6305, 6480, 6545, 6560, 7599, 7825, 8080, 8704
OFFSET
1,2
COMMENTS
If n belongs to this sequence then so does n*m^4 for any positive integer m. Primitive elements (i.e., not of the form n*m^4 for m>1) are listed in A147858.
There is no square in this sequence except 0. - Altug Alkan, Apr 08 2016
LINKS
MAPLE
N:= 10^4: # to get all terms <= N
Res:= {0}:
for a from 1 to floor(sqrt(N-2)) do
if a^4 > N then bmin:= ceil((a^4-N)^(1/4)) else bmin:= 1 fi;
Res:= Res union {seq(a^4-b^4, b=bmin..a-1)}
od:
sort(convert(Res, list)); # Robert Israel, Sep 28 2018
MATHEMATICA
nn = 50; Take[Union @@ Map[Differences, Union@ Map[Sort@ # &, Tuples[Range[Ceiling[nn/3]], {2}]]^4], nn] (* Michael De Vlieger, Apr 09 2016 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Max Alekseyev, Nov 15 2008, Nov 19 2008
EXTENSIONS
Offset changed by Robert Israel, Sep 28 2018
STATUS
approved