A230424 a(n) = largest natural number x such that x=n+A034968(x), or zero if no such number exists.

1, 3, 5, 0, 0, 7, 9, 11, 0, 0, 13, 15, 17, 0, 0, 19, 21, 23, 0, 0, 0, 0, 0, 25, 27, 29, 0, 0, 31, 33, 35, 0, 0, 37, 39, 41, 0, 0, 43, 45, 47, 0, 0, 0, 0, 0, 49, 51, 53, 0, 0, 55, 57, 59, 0, 0, 61, 63, 65, 0, 0, 67, 69, 71, 0, 0, 0, 0, 0, 73, 75, 77, 0, 0, 79

Offset: 0

Author

Antti Karttunen, Oct 31 2013

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 0..10079

Crossrefs

Cf. A034968, A230414. a(A219650(n)) = A005408(n) = 2n+1.

One more than A230423 at its nonzero points. A219658 gives the positions of zeros. Can be used to compute A230425-A230427.

Analogous sequence for binary system: A213724.

Programs

Scheme

(define (A230424 n) (if (zero? n) 1 (let ((v (A230423 n))) (if (zero? v) v (+ 1 v)))))

Formula

a(n) = A230412(n)*(A230423(n)+1).