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A034589 Lucky numbers N (A000959) such that Fibonacci iterations starting with (1, N) lead to a "nine digits anagram". 4
8955, 24405, 30013, 59325, 62025, 71493, 72123, 76885, 85461, 92077, 99165, 106185, 109717, 112251, 119077, 148773, 153007, 155077, 163771, 163803, 196797, 211369, 221137, 223365, 227119, 228271, 228631 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

"Nine digits anagram" is a number whose digits are a permutation of {1, ..., 9}, also called restricted zeroless pandigital number. These are listed as the first 9! terms of A050289. - M. F. Hasler, Jan 10 2020

LINKS

M. F. Hasler, Table of n, a(n) for n = 1..275 (using A000959(1..2e5) from b-file), Jan 10 2020

Patrick De Geest, Nine Digits Digressions

Eric Weisstein's World of Mathematics, Lucky Numbers

FORMULA

Intersection of A000959 (lucky numbers) and A034587. - M. F. Hasler, Jan 10 2020

EXAMPLE

Denote by F(1, N) the Fibonacci sequence x(k+1) = x(k) + x(k-1) starting with x(0) = 1, x(1) = N.

Then for N = 228631, F(1, N) = (1, 228631, 228632, 457263, 685895, 1143158, 1829053, 2972211, 4801264, 7773475, 12574739, 20348214, 32922953, 53271167, 86194120, 139465287, ...), where a nine-digits anagram has been reached.

PROG

(PARI) A034589_upto(N)=[n|n<-A000959_upto(N), is_A034587(n)] \\ or select(is_A034587, A959=from("b000959.txt")). - M. F. Hasler, Jan 10 2020

CROSSREFS

Cf. A000959 (lucky numbers), A050289 (zeroless pandigital numbers).

Cf. A034587 (all starting values leading to 9-digit anagrams), A034588 (subset of primes), A034306 (subset of palindromes).

Sequence in context: A172960 A172689 A172782 * A237164 A250368 A234755

Adjacent sequences:  A034586 A034587 A034588 * A034590 A034591 A034592

KEYWORD

nonn,base,fini

AUTHOR

Patrick De Geest, Oct 15 1998

EXTENSIONS

Name, example & crossrefs edited, offset changed to 1 by M. F. Hasler, Jan 06 2020

STATUS

approved

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Last modified September 24 18:02 EDT 2022. Contains 356947 sequences. (Running on oeis4.)