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 1-6 of 6 results.

A088777 a(n) = A082782(n+1)/A082782(n).

Original entry on oeis.org

11, 23, 101, 10001, 100000001, 95652604391301
Offset: 1

Views

Author

Ray Chandler, Oct 26 2003

Keywords

Crossrefs

Cf. A082782, A088771-A088779.

Extensions

a(5) from Max Alekseyev, Feb 12 2012
a(6) from Max Alekseyev, Nov 24 2024

A082780 a(1) = 5, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1).

Original entry on oeis.org

5, 55, 5005, 505505, 5005005005, 50055055055005, 50005050055005050005, 5000005005005005005005000005, 50000050055050055055055005055005000005
Offset: 1

Views

Author

Amarnath Murthy, Apr 19 2003

Keywords

Crossrefs

Cf. A082776, A082777, A082778, A082779, A082781, A082782, A082783.

Extensions

Corrected by Ray Chandler, Oct 13 2003
a(8)-a(9) from Sean A. Irvine, Apr 19 2010

A082781 a(1) = 6, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1).

Original entry on oeis.org

6, 66, 6006, 606606, 6006006006, 60066066066006, 60006060066006060006, 6000006006006006006006000006, 60000060066060066066066006066006000006
Offset: 1

Views

Author

Amarnath Murthy, Apr 19 2003

Keywords

Crossrefs

Cf. A082776, A082777, A082778, A082779, A082780, A082782, A082783.

Extensions

Corrected by Ray Chandler, Oct 13 2003
a(8)-a(9) from Sean A. Irvine, Apr 19 2010

A082783 a(1) = 8, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1).

Original entry on oeis.org

8, 88, 8008, 808808, 8008008008, 80088088088008, 80008080088008080008, 8000008008008008008008000008, 80000080088080088088088008088008000008
Offset: 1

Views

Author

Amarnath Murthy, Apr 19 2003

Keywords

Crossrefs

Cf. A082776, A082777, A082778, A082779, A082780, A082781, A082782.

Extensions

Corrected and extended by Ray Chandler, Oct 13 2003
a(8)-a(9) from Sean A. Irvine, Apr 19 2010

A088780 a(1) = 9, a(n) = smallest palindromic multiple of a(n-1) obtained by inserting digits anywhere in a(n-1).

Original entry on oeis.org

9, 99, 9009, 909909, 9009009009, 90099099099009, 90009090099009090009, 9000009009009009009009000009, 90000090099090099099099009099009000009
Offset: 1

Views

Author

Ray Chandler, Oct 26 2003

Keywords

Crossrefs

Cf. A082776, A082777, A082778, A082779, A082781, A082782, A082783.

Extensions

a(8) from David Consiglio, Jr., Sep 30 2022
a(9) from Max Alekseyev, Nov 24 2024

A342347 a(1) = 7, a(n) = smallest palindromic nontrivial multiple of a(n-1) containing all decimal digits of a(n-1).

Original entry on oeis.org

7, 77, 1771, 178871, 1788888871, 2188118778118812, 218811879999999978118812, 2188118799999999999999999999999978118812
Offset: 1

Views

Author

Chai Wah Wu, Mar 08 2021

Keywords

Comments

Differs from A082782 at a(6).
a(n) <= (10^A055642(a(n-1))+1)*a(n-1).
If a(n-1) > 10 and the last digit of a(n-1) <= 4, then a(n) <= (10^(A055642(a(n-1))-1)+1)*a(n-1).
For n=6..8, a(n) = 196930692 * A002275(2^(n-3)), and it follows that a(9) <= 196930692 * A002275(64). Conjecture: for all n >= 6, a(n) = 196930692 * A002275(2^(n-3)). Note that 196930692 is a term of A370052 and A370053. - Max Alekseyev, Feb 15 2024

Examples

			a(3) = 1771 is a palindromic multiple of a(2) = 77 and contains two '7', all the digits of a(2).

Crossrefs

Cf. A055642, A082782, A342232, A342233, A342345, A342346, A370052, A370053.

Extensions

a(8) from Max Alekseyev, Feb 15 2024
Showing 1-6 of 6 results.

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