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%I #22 Jan 09 2020 09:50:27
%S 4004,630036,1559551,4187814,4870784,6097906,6834386,9530359,50755705,
%T 51733715,54988945,62399326,62488426,63299236,63477436,64288246,
%U 64377346,71399317,71488417,73199137,73466437,74188147,74366347,81299218,81477418,82199128,82466428,84177148,84266248
%N Palindromes P such that Fibonacci iterations starting with (1, P) lead to a "nine digits anagram".
%C A "nine digit anagram" is a (so-called restricted zeroless pandigital) number whose digits are a permutation of [1..9], i.e., one of the first 9! terms of A050289.
%C In total there are exactly 68 such palindromes, 437606734 is the largest.
%H Giovanni Resta, <a href="/A034306/b034306.txt">Table of n, a(n) for n = 1..68</a> (full sequence)
%H Patrick De Geest, <a href="http://www.worldofnumbers.com/ninedigits.htm">Nine Digits Digressions</a>
%F Intersection of A034587 and A002113 (palindromes). - _M. F. Hasler_, Jan 08 2020
%e Denote by F(1,P) the Fibonacci type sequence x(n+1) = x(n) + x(n-1) with x(0) = 1, x(1) = P.
%e Then for P = a(8) = 9530359, F(1,P) = (1, 9530359, 9530360, 19060719, 28591079, 47651798, 76242877, 123894675, ...) where a 9-digits anagram has occurred.
%o (PARI) A034306=[p | p<-[A002113(n) | n<-[1..6*10^4]], is_A034587(p)] \\ All 68 terms in a fraction of a second. - _M. F. Hasler_, Jan 08 2020
%Y Cf. A002113 (palindromes), A050289 (zeroless pandigital numbers).
%Y Cf. A034587 (all starting values leading to 9-digit anagrams), A034588 (subset of primes), A034589 (subset of lucky numbers).
%K nonn,base,fini,full
%O 1,1
%A _Patrick De Geest_, Oct 15 1998
%E Edited by _M. F. Hasler_, Jan 09 2020
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