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

0, 1, 4, 5, 13, 14, 17, 18, 40, 41, 44, 45, 53, 54, 57, 58, 121, 122, 125, 126, 134, 135, 138, 139, 161, 162, 165, 166, 174, 175, 178, 179, 364, 365, 368, 369, 377, 378, 381, 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

Offset: 0

Author

Antti Karttunen, Mar 19 2017

Keywords

• nonn

Comments

Indexing starts from zero, with a(0) = 0.

Crossrefs

Cf. A000244, A003462, A005187, A030308, A070939, A090880, A283477.

Programs

PARI

A003462(n) = (3^n-1)/2;
A030308(n,k) = bittest(n,k);
A283483(n) = sum(i=0,(#binary(n)-1),A030308(n,i)*A003462(1+i));

Scheme

(define (A283483 n) (A090880 (A283477 n)))

Formula

a(n) = Sum_{i=0..A070939(n)} A030308(n,i)*A003462(1+i).

a(n) = A090880(A283477(n)).

Other identities. For all n >= 0:

a(2^n) = A003462(n+1).