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.

Showing 1-4 of 4 results.

A116650 Distinct values of A116648, i.e., its duplicates removed.

Original entry on oeis.org

2, 4, 5, 7, 9, 11, 18, 19, 20, 21, 27, 29, 30, 39, 42, 44, 45, 46, 47, 71, 73, 74, 75, 76, 78, 83, 87, 88, 90, 109, 113, 116, 120, 121, 123, 127, 158, 166, 167, 168, 169, 171, 173, 175, 176, 177, 179, 184, 185, 187, 188, 191, 286, 289, 295, 308, 309, 311, 313
Offset: 1

Views

Author

Antti Karttunen, Feb 21 2006

Keywords

Crossrefs

Cf. A116648, A116649, A116651.

Formula

a(n) = A116648(A116649(n)).

A116649 Positions where A116648(i) is greater than A116648(i-1).

Original entry on oeis.org

1, 3, 5, 9, 15, 17, 23, 25, 29, 33, 41, 49, 53, 63, 67, 71, 75, 79, 85, 89, 95, 99, 103, 107, 139, 143, 163, 167, 175, 179, 199, 219, 223, 227, 235, 243, 267, 271, 275, 279, 283, 291, 299, 307, 323, 333, 337, 351, 357, 361, 371, 381, 395, 405, 425, 449, 457
Offset: 1

Views

Author

Antti Karttunen, Feb 21 2006

Keywords

Comments

Equivalently, from i>1 onward those i where A116626(i) = A116648(i-1). Conjecture: all the terms are odd.

Crossrefs

Cf. A116650.

A116651 a(n) = A116648(2^n).

Original entry on oeis.org

2, 2, 4, 5, 9, 20, 39, 76, 127, 309, 509, 1263, 2621, 5044, 10025
Offset: 0

Views

Author

Antti Karttunen, Feb 21 2006

Keywords

Crossrefs

Cf. a(n) = A116648(A000079(n)). Cf. A116650.

A116626 a(1)=1; a(odd n) = a(n-1) XOR a(n-2), for a(even n) we find the first i > 1 such that neither i nor (i XOR A116626(n-1)) is present in A116626(1..n-1), in which case a(n) = (i XOR A116626(n-1)).

Original entry on oeis.org

1, 3, 2, 6, 4, 12, 8, 13, 5, 15, 10, 26, 16, 23, 7, 14, 9, 24, 17, 49, 32, 43, 11, 25, 18, 51, 33, 50, 19, 48, 35, 55, 20, 54, 34, 52, 22, 62, 40, 61, 21, 60, 41, 53, 28, 56, 36, 63, 27, 91, 64, 93, 29, 59, 38, 57, 31, 58, 37, 100, 65, 95, 30, 92, 66, 101, 39, 99, 68, 110, 42
Offset: 1

Views

Author

Paul D. Hanna and Antti Karttunen, Feb 21 2006

Keywords

Comments

This is a permutation of the natural numbers provided that A116625 is the complement of A116624. XOR is A003987.

Links

Crossrefs

Cf. a(2n) = a(2n-1) XOR a(2n+1), a(2n+1) = A116624(n+1). Inverse: A116627. Bisections: A116624, A116625. Cf. A116648.
Showing 1-4 of 4 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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