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 1-3 of 3 results.

A266417 a(1) = 1; for n > 1, if A192490(2n+1) = 1 [when 2n+1 is Ludic number] a(n) = 1 + 2*a(A266350(n)-1), otherwise a(n) = 2*a(n-A266350(n)).

Original entry on oeis.org

1, 3, 7, 2, 15, 5, 6, 31, 14, 4, 11, 13, 30, 63, 10, 12, 62, 29, 28, 9, 23, 8, 27, 22, 26, 61, 60, 126, 20, 127, 24, 124, 21, 58, 25, 56, 18, 125, 46, 16, 59, 54, 44, 57, 19, 52, 122, 47, 120, 252, 40, 254, 17, 48, 248, 42, 55, 116, 45, 53, 50, 112, 123, 36, 121, 250, 92, 32, 118, 108, 253, 88, 114, 41, 38
Offset: 1

Views

Author

Antti Karttunen, Jan 28 2016

Keywords

Links

Crossrefs

Inverse: A266418.
Cf. A003309, A192607, A192490, A266350.
Similar or related permutations: A237427, A266637.

Formula

a(1) = 1; for n > 1, if A192490(2*n + 1) = 1 [when 2n+1 is Ludic number] a(n) = 1 + 2*a(A266350(n)-1), otherwise a(n) = 2*a(n-A266350(n)).
As a composition of related permutations:
a(n) = A237427(A266637(n)).

A266637 a(1) = 1; for n > 1, if A192490(2*n + 1) = 1 [when 2n+1 is a Ludic number] a(n) = A003309(1+a(A266350(n)-1)), otherwise a(n) = A192607(a(n-A266350(n))).

Original entry on oeis.org

1, 2, 3, 4, 5, 7, 6, 11, 8, 9, 17, 13, 10, 37, 14, 12, 19, 23, 15, 25, 67, 16, 43, 27, 21, 29, 18, 52, 22, 181, 20, 30, 47, 34, 41, 24, 36, 77, 88, 26, 97, 59, 39, 53, 115, 32, 42, 407, 28, 70, 33, 224, 61, 31, 44, 64, 227, 49, 121, 89, 57, 35, 131, 51, 71, 101, 113, 38, 125, 79, 287, 55, 72, 91, 146, 46, 58, 1361
Offset: 1

Views

Author

Antti Karttunen, Jan 28 2016

Keywords

Links

Crossrefs

Inverse: A266638.
Cf. A003309, A192490, A192607, A266350.
Related or similar permutations: A237126, A266417.

Formula

a(1) = 1; for n > 1, if A192490(2*n + 1) = 1 [when 2n+1 is Ludic number] a(n) = A003309(1+a(A266350(n)-1)), otherwise a(n) = A192607(a(n-A266350(n))).
As a composition of related permutations:
a(n) = A237126(A266417(n)).

A266409 a(n) = (A003309(n+2)-1) / 2; numbers n such that 2n+1 is a Ludic number (in A003309).

Original entry on oeis.org

1, 2, 3, 5, 6, 8, 11, 12, 14, 18, 20, 21, 23, 26, 30, 33, 35, 38, 41, 44, 45, 48, 53, 57, 59, 60, 63, 65, 71, 74, 78, 80, 86, 87, 89, 90, 96, 104, 105, 110, 111, 113, 116, 117, 119, 123, 128, 132, 138, 141, 143, 150, 153, 156, 164, 165, 168, 170, 176, 179, 180, 188, 191, 194, 198, 203, 207, 209, 210, 215
Offset: 1

Views

Author

Antti Karttunen, Jan 28 2016

Keywords

Comments

Ludic numbers from A003309(2) = 3 onward, decremented by one, then halved.

Links

Crossrefs

Complement: A266410.
Cf. A003309, A192490.
Cf. A266350 (least monotonic left inverse).
Cf. permutations A266418, A266638.
Cf. also A005097.

Formula

a(n) = (A003309(n+2)-1) / 2.
Other identities. For all n >= 1:
A266350(a(n)) = n.
Showing 1-3 of 3 results.

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

Content is available under The OEIS End-User License Agreement.