1,2

It is not known if any terms exist in this sequence beyond n=4.

Contribution from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 08 2008: (Start)

a(5) = 9006349824 = 8^5 + 34^5 + 62^5 + 68^5 + 92^5 = 8^5 + 41^5 + 47^5 + 79^5 + 89^5 = 12^5 + 18^5 + 72^5 + 78^5 + 84^5 = 21^5 + 34^5 + 43^5 + 74^5 + 92^5 = 24^5 + 42^5 + 48^5 + 54^5 + 96^5.

Per email communication from Ian Rayson, the nth powers for each sum must be distinct. If duplicate nth powers were allowed, a(4) would be 236674 while the other terms would remain unchanged. (End)

for n=2, 65= 1^2 + 8^2 = 4^2 + 7^2

Sequence in context: A027535 A110900 A084272 this_sequence A115432 A116104 A116121

Adjacent sequences: A146753 A146754 A146755 this_sequence A146757 A146758 A146759

hard,more,nonn

Ian Rayson (Ian.Rayson(AT)studentmail.newcastle.edu.au), Nov 02 2008

a(5) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Nov 08 2008