A292856 Numbers n such that 7 applications of 'Reverse and Subtract' lead to n, whereas fewer than 7 applications do not lead to n.

142710354353443018141857289645646556981858, 236547461211163745741763452538788836254258, 331948602685207939133668051397314792060866, 336111694728585211732663888305271414788267

Offset

1,1

Comments

There are 7 forty-two-digit terms in the sequence. Terms of derived sequences can be obtained either by inserting at the center of their digits any number of 9's or by concatenating a term any number of times with itself and inserting an equal number of 0's at all junctures.

Links

Ray Chandler, Table of n, a(n) for n = 1..7

J. H. E. Cohn, Palindromic differences, Fibonacci Quart. 28 (1990), no. 2, 113-120.

Formula

n = f^7(n), n <> f^k(n) for k < 7, where f: x -> |x - reverse(x)|.

Example

142710354353443018141857289645646556981858 -> 715479301293103964616284520698706896035383 -> 331948602685207939133668051397314792060866 -> 336111694728585211732663888305271414788267 -> 426775719443918676633573224280556081323366 -> 236547461211163745741763452538788836254258 -> 615905177676671508625384094822323328491374 -> 142710354353443018141857289645646556981858

Crossrefs

Cf. A072142, A072143, A072718, A072719, A215669, A292634, A292635, A292846, A292857, A292858, A292859.

Sequence in context: A003937 A120335 A095476 * A292846 A181789 A095478

Adjacent sequences: A292853 A292854 A292855 * A292857 A292858 A292859

Keyword

nonn,base

Author

Meritxell Vila Miñana, Sep 25 2017

Extensions

Terms ordered by Ray Chandler, Sep 27 2017

Status

approved