Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #7 Feb 18 2019 11:12:53
%S 1,3,4,7,10,12,14,17,22,28,31,34,38,41,46,51,58,60,63,68,69,77,80,86,
%T 93,98,101,105,107,110,127,126,132,135,145,148,154,159,164,170,176,
%U 178,190,188,193,196,208,222,224,226,230,238,238,250,250,258,264,267,272,276
%N n-th prime minus number of 0's in binary representation of n-th prime.
%F a(n) = A000040(n) - A035103(n).
%p A023416 := proc(n) a := 0 ; for d in convert(n,base,2) do if d = 0 then a := a+1 ; end if; end do; a ; end proc:
%p A035103 := proc(n) A023416(ithprime(n)) ; end proc:
%p A177959 := proc(n) ithprime(n)-A035103(n) ; end proc:
%p seq(A177959(n),n=1..120) ; # _R. J. Mathar_, May 30 2010
%Y Cf. A014499, A035193, A177687.
%K nonn
%O 1,2
%A _Juri-Stepan Gerasimov_, May 16 2010
%E Corrected (39 removed, 124 replaced by 224, 126 replaced by 226) by _R. J. Mathar_, May 30 2010