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a(n) = n - A264977(n).
5

%I #7 Dec 18 2015 11:22:13

%S 0,0,0,0,0,4,0,0,0,4,8,4,0,12,0,0,0,4,8,12,16,16,8,12,0,12,24,12,0,28,

%T 0,0,0,4,8,28,16,24,24,36,32,40,32,32,16,40,24,28,0,28,24,36,48,40,24,

%U 36,0,28,56,28,0,60,0,0,0,4,8,60,16,40,56,52,32,48,48,72,48,64,72,68,64,72,80,72,64,84,64,64,32

%N a(n) = n - A264977(n).

%C Note that A264977(n) gives the value of the n-th Stern polynomial (cf. A260443, A125184) evaluated at X=2 over the field GF(2), while n gives the value of the same polynomial evaluated at X=2 in the usual way.

%C Each term seems to be a multiple of 4.

%H Antti Karttunen, <a href="/A265397/b265397.txt">Table of n, a(n) for n = 0..8191</a>

%F a(n) = n - A264977(n).

%o (Scheme) (define (A265397 n) (- n (A264977 n)))

%Y Cf. A125184, A260443, A264977.

%Y Cf. A023758 (positions of zeros).

%K nonn

%O 0,6

%A _Antti Karttunen_, Dec 16 2015