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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A091677 a(n) = smallest non-palindromic k such that the base-4 Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A091675(n).

Original entry on oeis.org

469892287, 318, 68346, 66349, 269237759, 272353, 110333, 1082314, 4279, 3903, 1049659, 290, 1210, 4334, 275436, 4199, 73784, 2082046, 5046, 4212653, 1052467, 4768988414, 1073998008, 1051069, 1058784, 719, 795, 799, 265038, 119810013
Offset: 1

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Author

Klaus Brockhaus, Jan 28 2004

Keywords

Comments

a(1), a(5), a(22), a(23) and a(30) are conjectural; it is not yet ensured that they are minimal.
a(n) >= A091675(n); a(n) = A091675(n) iff the trajectory of A091675(n) is palindrome-free, i.e., A091675(n) is also a term of A075421.
a(n) determines a 1-1-mapping from the terms of A091675 to the terms of A075421, the inverse of the mapping determined by A091676.
The 1-1 property of the mapping depends on the conjecture that the base-4 Reverse and Add! trajectory of each term of A091675 contains only a finite number of palindromes (cf. A091680).
Base-4 analog of A089494.

Examples

			A091675(2) = 3, the trajectory of 3 joins the trajectory of 318 = A075421(2) at 20966400, so a(2) = 318. A091675(4) = 22, the trajectory of 22 joins the trajectory of 66349 = A075421(130) at 600785, so a(4) = 66349.
		

Crossrefs

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.
		

Crossrefs

Showing 1-2 of 2 results.