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.

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A246268 Permutation of natural numbers: a(n) = A246264(A064216(2*n)).

Original entry on oeis.org

1, 2, 4, 3, 7, 9, 5, 16, 6, 12, 18, 19, 14, 11, 24, 10, 29, 34, 8, 38, 43, 21, 26, 23, 15, 52, 53, 30, 27, 32, 39, 56, 62, 13, 66, 41, 22, 69, 46, 49, 73, 77, 35, 20, 84, 59, 48, 88, 33, 98, 57, 40, 100, 60, 68, 106, 116, 36, 64, 119, 17, 93, 125, 42, 72, 132, 80, 140, 31, 58, 145, 91, 86, 74, 104, 96, 151, 158, 28
Offset: 1

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Author

Antti Karttunen, Aug 21 2014

Keywords

Comments

This permutation is induced when A064216 is restricted to even numbers (equally, when A064989 is restricted to the numbers of form 4n-1) and the resulting numbers are "ranked" with A246264.

Links

Crossrefs

Inverse: A246267.
Cf. also A064216, A064989, A246264, A246266.

Formula

a(n) = A246264(A064216(2*n)).
a(n) = A246264(A064989((4*n)-1)).

A246263 Numbers n such that A003961(n) is of the form 4k+3.

Original entry on oeis.org

2, 5, 6, 7, 8, 15, 17, 18, 19, 20, 21, 22, 24, 26, 28, 29, 32, 41, 43, 45, 46, 50, 51, 53, 54, 55, 57, 60, 61, 62, 63, 65, 66, 67, 68, 70, 72, 73, 74, 76, 77, 78, 79, 80, 84, 87, 88, 91, 94, 96, 98, 101, 103, 104, 112, 113, 115, 116, 118, 123, 125, 127, 128, 129, 135, 137, 138, 142, 149, 150
Offset: 1

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Author

Antti Karttunen, Aug 21 2014

Keywords

Comments

Equally: numbers n for which A048673(n) is even.
Also, after the first term (2), numbers n for which A243062(n) is odd.
Numbers that occur below the topmost row of square array A246259.

Links

Crossrefs

Complement: A246261.
Positions of nonzeros in A246271.
Inverse function: A246264.
Cf. A003961, A048673, A246259, A243062, A246267.

A246262 Inverse function to injection A246261, partial sums of A246260.

Original entry on oeis.org

0, 1, 1, 2, 3, 3, 3, 3, 3, 4, 5, 6, 7, 8, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 23, 24, 24, 25, 25, 25, 26, 27, 28, 28, 28, 29, 29, 29, 29, 30, 30, 31, 32, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34, 34, 35, 35, 35, 35, 36, 36, 36, 36, 36, 36, 37, 38, 39
Offset: 0

Views

Author

Antti Karttunen, Aug 21 2014

Keywords

Links

Crossrefs

Cf. A246260, A246261, A246264, A246266.

Formula

a(0) = 0, and for n >= 1, a(n) = A246260(n) + a(n-1).
a(n) = n - A246264(n).
Other identities. For all n >= 1 the following holds:
a(A246261(n)) = n. [This works as an inverse function for A246261].
Showing 1-3 of 3 results.

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

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