cp's OEIS Frontend

A283483 Sums of distinct nonzero terms of A003462: a(n) = Sum_{k>=0} A030308(n,k)*A003462(1+k).

%I A283483 #11 Mar 19 2017 19:39:36
%S A283483 0,1,4,5,13,14,17,18,40,41,44,45,53,54,57,58,121,122,125,126,134,135,
%T A283483 138,139,161,162,165,166,174,175,178,179,364,365,368,369,377,378,381,
%U A283483 382,404,405,408,409,417,418,421,422,485,486,489,490,498,499,502,503,525,526,529,530,538,539,542,543,1093,1094,1097,1098,1106,1107,1110,1111
%N A283483 Sums of distinct nonzero terms of A003462: a(n) = Sum_{k>=0} A030308(n,k)*A003462(1+k).
%C A283483 Indexing starts from zero, with a(0) = 0.
%F A283483 a(n) = Sum_{i=0..A070939(n)} A030308(n,i)*A003462(1+i).
%F A283483 a(n) = A090880(A283477(n)).
%F A283483 Other identities. For all n >= 0:
%F A283483 a(2^n) = A003462(n+1).
%o A283483 (PARI)
%o A283483 A003462(n) = (3^n-1)/2;
%o A283483 A030308(n,k) = bittest(n,k);
%o A283483 A283483(n) = sum(i=0,(#binary(n)-1),A030308(n,i)*A003462(1+i));
%o A283483 (Scheme) (define (A283483 n) (A090880 (A283477 n)))
%Y A283483 Cf. A000244, A003462, A005187, A030308, A070939, A090880, A283477.
%K A283483 nonn
%O A283483 0,3
%A A283483 _Antti Karttunen_, Mar 19 2017