A057895 Nonnegative numbers which can be written as m^k-m [with m and k nonnegative and 0^0 taken as 1].

0, 1, 2, 6, 12, 14, 20, 24, 30, 42, 56, 60, 62, 72, 78, 90, 110, 120, 126, 132, 156, 182, 210, 240, 252, 254, 272, 306, 336, 342, 380, 420, 462, 504, 506, 510, 552, 600, 620, 650, 702, 720, 726, 756, 812, 870, 930, 990, 992, 1020, 1022, 1056, 1122, 1190, 1260

Offset: 0

Author

Henry Bottomley, Sep 26 2000

Keywords

• nonn

Examples

			a(8)=30 is in the sequence since 30=2^6-2 (and also =6^2-6).
		

Links

• Robert Israel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A000918, A057896, A308324.

Programs

Maple

N:= 1000: # to get all entries up to N
S:= {0,1}:
for m from 2 to floor((1+sqrt(1+4*N))/2) do
     S:= S union {seq(m^k - m,k=2 .. floor(log(N+m)/log(m)))}
end do:
S; # Robert Israel, Feb 12 2013