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

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