A278546 Even numbers that cannot be expressed as a sum of 3 or fewer terms of A035928.

8, 18, 28, 130, 134, 138, 148, 158, 176, 318, 530, 538, 548, 576, 644, 1300, 2170, 2202, 2212, 2228, 2230, 2248, 8706, 8938, 8948, 34970, 35082

Offset: 1

Author

Jeffrey Shallit, Nov 23 2016

Keywords

• nonn
• more

Comments

This is conjectured to be the complete list. There are no other examples smaller than 16773120.

Crossrefs

Cf. A035928, A278465.

Programs

Mathematica

nn = 10^5; Complement[Range[2, nn, 2], Union@ Map[Total, Rest@ Tuples[{0}~Join~#, 3]] &@ Select[Range@ nn, Function[k, Reverse[# /. {1 -> 0, 0 -> 1}] == # &@ IntegerDigits[k, 2]]]] (* Michael De Vlieger, Nov 23 2016, after Harvey P. Dale at A035928 *)