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Numbers of the form floor(r^i) + floor(s^j), where r = (1 + sqrt(5))/2, s = r^2, i >= 0, j >= 0.
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%I #6 May 06 2015 09:48:45

%S 2,3,4,5,6,7,8,10,12,13,17,18,19,21,23,28,30,31,34,35,46,47,48,50,52,

%T 57,63,75,77,78,82,92,93,122,123,124,126,128,133,139,151,168,198,200,

%U 201,205,216,244,245,321,322,323,325,327,332,338,350,367,397,443

%N Numbers of the form floor(r^i) + floor(s^j), where r = (1 + sqrt(5))/2, s = r^2, i >= 0, j >= 0.

%t r = GoldenRatio; s = r/(r - 1); Take[Union[Flatten[Table[Floor[r^i] + Floor[s^j], {i, 0, 100}, {j, 0, 100}]]], 100]

%Y Cf. A001622, A104457.

%Y Cf. A257671.

%K nonn,easy

%O 1,1

%A _Clark Kimberling_, May 03 2015