A089494 - OEIS

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).

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

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OFFSET

1,1

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

LINKS

Table of n, a(n) for n=1..21.

W. VanLandingham, 196 and Other Lychrel Numbers

Index entries for sequences related to Reverse and Add!

EXAMPLE

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.

CROSSREFS

Cf. A063048, A070788, A089493, A077594.

Sequence in context: A183600 A302772 A063433 * A066054 A224425 A179426

Adjacent sequences: A089491 A089492 A089493 * A089495 A089496 A089497

KEYWORD

nonn,base

AUTHOR

Klaus Brockhaus, Nov 04 2003

STATUS

approved