cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A139373 Let the binary expansion of n be n = Sum_{k} 2^{r_k}, let e(n) be the number of r_k's that are even, o(n) the number that are odd; sequence lists n such that e(n) > o(n).

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%I A139373 #13 Dec 19 2024 11:41:30
%S A139373 1,4,5,7,13,16,17,19,20,21,22,23,25,28,29,31,37,49,52,53,55,61,64,65,
%T A139373 67,68,69,70,71,73,76,77,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,
%U A139373 95,97,100,101,103,109,112,113,115,116,117,118,119,121,124
%N A139373 Let the binary expansion of n be n = Sum_{k} 2^{r_k}, let e(n) be the number of r_k's that are even, o(n) the number that are odd; sequence lists n such that e(n) > o(n).
%C A139373 e(n)+o(n) = A000120(n), the binary weight of n. For e(n) = o(n) see A039004.
%t A139373 aQ[n_] := Module[{d = Reverse[IntegerDigits[n,2]]}, Total@d[[1;;-1;;2]] > Total@d[[2;;-1;;2]]]; Select[Range[180], aQ] (* _Amiram Eldar_, Dec 15 2018 *)
%o A139373 (Fortran) c See link in A139351
%o A139373 (PARI) isok(n) = {my(irb = Vec(select(x->(x%2), Vecrev(binary(n)), 1))); #select(x->(x%2), irb) > #irb/2;} \\ _Michel Marcus_, Dec 15 2018
%Y A139373 Cf. A000120, A139351, A139352, A139353, A139354, A139355.
%Y A139373 Cf. A039004, A139370, A139371, A139372.
%K A139373 nonn
%O A139373 1,2
%A A139373 _Nadia Heninger_ and _N. J. A. Sloane_, Jun 07 2008