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Smallest multiple of n such that a(n) + a(n-1) is an n-th power.
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%I #9 Dec 15 2017 17:36:26

%S 1,8,117,508,32260,229884,19257287

%N Smallest multiple of n such that a(n) + a(n-1) is an n-th power.

%C a(8) does not exist because no 8th power is congruent to a(7)=19257287 (mod 8).

%e 1, 1+8, 8+117, 117+508 give 1,9,125,625... which are 1,3^2,5^3,5^4,...

%K fini,full,nonn

%O 1,2

%A Amarnath Murthy, _Jason Earls_, Jul 18 2003

%E Edited by _Dean Hickerson_, Jul 20 2003