A249106 Numbers that form a Pythagorean 6-tuple with their first four arithmetic derivatives.

19164, 129357, 14971875, 45316123, 434325391

Offset: 1

Author

Paolo P. Lava, Oct 21 2014

Keywords

• nonn
• more

Examples

			First four arithmetic derivatives of 19164 are 25564, 31848, 58412, 61916 and sqrt(19164^2 + 25564^2 + 31848^2 + 58412^2 + 61916^2) = 96336.
		

Crossrefs

Cf. A003415, A210503, A230543, A249105, A249107, A249110.

Programs

Maple

with(numtheory);
Dr:=proc(w) local x,p; x:=w*add(op(2,p)/op(1,p),p=ifactors(w)[2]); end:
P:=proc(q,h) local a,b,k,n; for n from 2 to q do a:=n; b:=n^2;
for k from 1 to h do a:=Dr(a); b:=b+a^2; od; if type(sqrt(b),integer) then print(n);
fi; od; end: P(10^9,4);

Extensions

a(4) from Ray Chandler, Dec 23 2016

a(5) from Ray Chandler, Jan 11 2017