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.

A089494 a(n) = smallest non-palindromic k such that the Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A070788(n).

Original entry on oeis.org

10577, 1000000537869, 100000070637875, 10004697841, 10000671273, 100010097365, 990699, 1997, 19098, 10563, 109918, 10735, 101976, 1060004932996, 100059426, 90379, 10003991597, 100000089687980, 90900469909, 13097, 1005989
Offset: 1

Views

Author

Klaus Brockhaus, Nov 04 2003

Keywords

Comments

a(3), a(14) and a(18) are conjectural; it is not yet ensured that they are minimal.
a(n) >= A070788(n); a(n) = A070788(n) iff the trajectory of A070788(n) is palindrome-free, i.e. A070788(n) is also a term of A063048.
a(n) determines a 1-1-mapping from the terms of A070788 to the terms of A063048, the inverse of the mapping determined by A089493. Terms > 2*10^6 were ascertained with the aid of W. VanLandingham's list of Lychrel numbers.
The 1-1 property of the mapping depends on the conjecture that the Reverse and Add! trajectory of each term of A070788 contains only a finite number of palindromes (cf. A077594). - Klaus Brockhaus, Dec 09 2003

Examples

			A070788(1) = 1, the trajectory of 1 joins the trajectory of 10577 = A063048(7) at 7309126, so a(1) = 10577.
A070788(8) = 106, the trajectory of 106 joins the trajectory of 1997 = A063048(3) at 97768, so a(8) = 1997.

Links

Crossrefs

Cf. A063048, A070788, A089493, A077594.

A091676 a(n) = smallest k such that the base 4 Reverse and Add! trajectory of A075421(n) joins the trajectory of k.

Original entry on oeis.org

266, 3, 719, 795, 799, 269, 258, 286, 4207, 1037, 4236, 4278, 256, 4169, 4182, 4189, 271, 4338, 4402, 4598, 4662, 4108, 312, 5357, 6157, 4104, 4159, 7247, 7295, 7407, 7549, 8063, 4157, 8189, 4141, 12431, 12463, 12539, 15487, 4349, 4239, 7391, 16522
Offset: 1

Views

Author

Klaus Brockhaus, Jan 28 2004

Keywords

Comments

a(n) <= A075421(n); a(n) = A075421(n) iff the trajectory of A075421(n) does not join the trajectory of any smaller number, i.e., A075421(n) is also a term of A091675.
a(n) determines a 1-1-mapping from the terms of A075421 to the terms of A091675. For the inverse mapping cf. A091677.
Base-4 analog of A089493.

Examples

			A075421(1) = 290, the trajectory of 290 (A075299) joins the trajectory of 266 = A091675(12) at 4195, so a(1) = 266. A075421(6) = 1210, the trajectory of 1210 joins the trajectory of 269 = A091675(13) at 17975, so a(6) = 269.

Links

Crossrefs

Cf. A075421, A091675, A075299, A089493.

A092211 a(n) = smallest k such that the base-2 Reverse and Add! trajectory of A075252(n) joins the trajectory of k.

Original entry on oeis.org

1, 64, 442, 454, 107, 1066, 1081, 1082, 1085, 1115, 1562, 911, 1070, 266, 3355, 98, 3871, 4099, 4152, 1274, 74, 4202, 4262, 4182, 275, 4633, 4666, 4114, 6166, 6374, 9241, 9466, 8312, 16418, 16490, 16601, 16613, 16616, 298, 16748, 16994, 17002
Offset: 1

Views

Author

Klaus Brockhaus, Feb 25 2004

Keywords

Comments

a(n) <= A075252(n); a(n) = A075252(n) iff the trajectory of A075252(n) does not join the trajectory of any smaller number, i.e., A075252(n) is also a term of A092210.
a(n) determines a 1-1-mapping from the terms of A075252 to the terms of A092210. For the inverse mapping cf. A092212.
Base-2 analog of A089493 (base 10) and A091676 (base 4).

Examples

			A075252(1) = 22, the trajectory of 22 (A061561) joins the trajectory of 1 = A092210(1) at 48960, so a(1) = 1. A075252(12) = 1575, the trajectory of 1575 joins the trajectory of 911 = A092210(17) at 184680, so a(12) = 911.

Links

Crossrefs

Cf. A075252, A092210, A092212, A061561, A089493, A091676.
Showing 1-3 of 3 results.

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

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