%I
%S 1,2,1,4,5,2,1,4,9,5,5,4,5,14,1,16,17,9,9,5,21,5,5,4,9,5,5,14,14,30,1,
%T 16,16,17,35,9,9,9,9,40,9,21,21,44,5,14,5,16,49,9,9,5,21,5,5,14,14,14,
%U 14,30,30,30,63,64,16,16,16,17,17,35,35,9,9,9,9,9,9,14,9,80,40,9,9,21
%N a(n) = A162406(n+1) - A162406(n).
%C a(j) can only equal some A162406(k). [_Robert G. Wilson v_, Aug 01 2009]
%t a[0] = 1; a[n_] := a[n] = a[n - 1] + Max@ Select[ Table[a@i, {i, 0, n - 1}], StringPosition[ ToString@ FromDigits@ IntegerDigits[n, 2], ToString@ FromDigits@ IntegerDigits[ #, 2]] != {} &]; t = Table[ a@n, {n, 0, 100}]; Rest@t - Most@t (* _Robert G. Wilson v_, Aug 01 2009 *)
%Y Cf. A162405, A162406.
%K base,nonn
%O 0,2
%A _Leroy Quet_, Jul 02 2009
%E More terms beginning with a(11) from _Robert G. Wilson v_, Aug 01 2009
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