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Search: id:A092212
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A092212 a(n) = smallest non-palindromic k such that the base 2 Reverse and Add! trajectory of k is palindrome-free and joins the trajectory of A092210(n). +0
2
22, 65649, 77, 4193, 3599, 775, 68076, 2173 (list; graph; listen)
OFFSET

1,1

COMMENT

Terms a(9) to a(29) are 205796147 (conjectured), 4402, 16720, 1089448, 442, 537, unknown, 1050177, 1575, 28822, unknown, 40573, 1066, 1587, unknown, unknown, 1081, 1082, 1085, 1115, 4185.

a(n) >= A092210(n); a(n) = A092210(n) iff the trajectory of A092210(n) is palindrome-free, i.e. A092210(n) is also a term of A075252.

a(n) determines a 1-1-mapping from the terms of A092210 to the terms of A075252, the inverse of the mapping determined by A092211.

The 1-1 property of the mapping depends on the conjecture that the base 2 Reverse and Add! trajectory of each term of A092210 contains only a finite number of palindromes (cf. A092215).

Base 2 analogue of A089494 (base 10) and A091677 (base 4).

LINKS

Index entries for sequences related to Reverse and Add!

EXAMPLE

A092210(3) = 64, the trajectory of 64 joins the trajectory of 77 = A075252(2) at 48480, so a(3) = 77. A092210(5) = 98, the trajectory of 98 joins the trajectory of 3599 = A075252(16) at 401104704, so a(5) = 3599.

CROSSREFS

Cf. A075252, A092210, A092211, A092215, A089494, A091677.

Sequence in context: A127486 A078398 A060619 this_sequence A013770 A145323 A013816

Adjacent sequences: A092209 A092210 A092211 this_sequence A092213 A092214 A092215

KEYWORD

nonn,base,more

AUTHOR

Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Feb 25 2004

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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