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.

A112234 Numbers not occurring in A112233.

Original entry on oeis.org

1, 3, 6, 8, 10, 12, 14, 16, 19, 23, 27, 30, 35, 39, 41, 46, 49, 51, 56, 58, 61, 64, 66, 68, 70, 73, 75, 80, 83, 87, 90, 93, 97, 99, 102, 107, 111, 114, 117, 119, 122, 124, 126, 131, 134, 137, 141, 143, 148, 151, 154, 156, 158, 161, 164, 167, 171, 173, 178, 180, 183, 187
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 29 2005

Keywords

Comments

Complement of A112235.

A112231 Repeat each prime in the sequence of natural numbers.

Original entry on oeis.org

1, 2, 2, 3, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 19, 20, 21, 22, 23, 23, 24, 25, 26, 27, 28, 29, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 58
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 29 2005

Keywords

Comments

a(n) = A112233(n) - A112232(n);
a(n + A000040(n) - 1) = A000040(n),
a(n + A000040(n)) = A000040(n),
a(n + A000040(n) + 1) = A000040(n) + 1.

Crossrefs

Cf. A109763.

Programs

  • Mathematica
    Table[If[PrimeQ[n],{n,n},n],{n,70}]//Flatten (* Harvey P. Dale, Aug 12 2019 *)

A112232 Repeat each composite number in the sequence of natural numbers.

Original entry on oeis.org

1, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 9, 9, 10, 10, 11, 12, 12, 13, 14, 14, 15, 15, 16, 16, 17, 18, 18, 19, 20, 20, 21, 21, 22, 22, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 38, 38, 39, 39, 40, 40, 41, 42, 42, 43, 44, 44, 45
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 29 2005

Keywords

Comments

a(n) = A112233(n) - A112231(n);
a(n + A002808(n) - 1) = A002808(n),
a(n + A002808(n)) = A002808(n),
a(n + A002808(n) + 1) = A002808(n) + 1.

A112235 Complement of A112234.

Original entry on oeis.org

2, 4, 5, 7, 9, 11, 13, 15, 17, 18, 20, 21, 22, 24, 25, 26, 28, 29, 31, 32, 33, 34, 36, 37, 38, 40, 42, 43, 44, 45, 47, 48, 50, 52, 53, 54, 55, 57, 59, 60, 62, 63, 65, 67, 69, 71, 72, 74, 76, 77, 78, 79, 81, 82, 84, 85, 86, 88, 89, 91, 92, 94, 95, 96, 98, 100, 101, 103, 104, 105
Offset: 1

Views

Author

Reinhard Zumkeller, Aug 29 2005

Keywords

Comments

Subsequence of A112233.
Showing 1-4 of 4 results.