A280507 -id:A280507 - cp's OEIS frontend

A280508 a(n) = n XOR A057889(n).

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 10, 0, 0, 12, 10, 0, 10, 12, 0, 0, 10, 0, 0, 0, 0, 0, 18, 0, 12, 20, 30, 0, 12, 0, 30, 24, 0, 20, 18, 0, 18, 20, 0, 24, 30, 0, 12, 0, 30, 20, 12, 0, 18, 0, 0, 0, 0, 0, 34, 0, 20, 36, 54, 0, 0, 24, 34, 40, 20, 60, 54, 0, 20, 24, 54, 0, 0, 60, 34, 48, 20, 0, 54, 40, 0, 36, 34, 0, 34, 36, 0, 40, 54, 0, 20, 48

Offset: 0

Antti Karttunen, Jan 09 2017

Cf. A003987, A057889, A280505, A280506, A280507, A280509.

Cf. A057890 (positions of zeros).

(define (A280508 n) (A003987bi n (A057889 n))) ;; Where A003987bi implements A003987 (bitwise-XOR).

a(n) = A003987(n,A057889(n)) = n XOR A057889(n).
Other identities. For all n >= 0:
a(A057889(n)) = a(n).

A280502 a(n) = A280500(n, A280501(n)).

Original entry on oeis.org

1, 2, 3, 4, 5, 1, 1, 8, 3, 3, 11, 2, 13, 2, 15, 16, 17, 1, 1, 1, 1, 22, 23, 4, 25, 26, 5, 4, 29, 5, 31, 32, 33, 15, 13, 2, 37, 2, 39, 2, 41, 2, 43, 44, 15, 13, 47, 8, 11, 50, 51, 52, 3, 3, 55, 8, 57, 11, 59, 3, 61, 62, 3, 64, 5, 31, 67, 5, 69, 26, 71, 4, 73, 74, 75, 4, 77, 29, 25, 4, 81, 82, 29, 4, 85, 25, 87, 88, 89, 5, 91, 26, 31, 94, 5, 16, 97, 22, 99, 100, 23, 17

Offset: 1

Antti Karttunen, Jan 09 2017

Cf. A193231, A280500, A280501, A280506, A280507.

Cf. A118666 (positions of ones).

(define (A280502 n) (A280500bi n (A280501 n))) ;; Code for A280500bi given in A280500.

a(n) = A280500(n, A280501(n)).
Other identities. For all n >= 1:
A048720(a(n), A280501(n)) = n.

cp's OEIS Frontend

A280508 a(n) = n XOR A057889(n).

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