A256242 Numbers having digits in nondecreasing order and repeatedly setting n := A066308(n) yields a constant nonzero n.

1, 89, 135, 139, 144, 233, 1224, 1367, 11249, 12222, 111126, 111266, 111338, 112229, 112337, 1111119, 1111134, 1111137, 1111177, 1111333, 1111346, 11111117, 11111119, 11111223, 11112236, 111111119, 111111139, 111111299, 111112334, 1111111169, 1111122233, 11111111118, 11111111133, 11111111369, 111111111133

Offset: 1

Author

David A. Corneth, Mar 20 2015

Keywords

• nonn
• base

Comments

Intersection of A009994 and A256240. All digits differ from 0.

Permutations of all numbers of the elements in the table give the first 56622402 elements from A256240 (unsorted).

Links

• David A. Corneth, Table of n, a(n) for n = 1..166 (all elements below 10^100).

Crossrefs

Cf. A009994, A256240.

Programs

PARI

isok(n) = {d = digits(n); if (vecsort(d,,2) == d, ok = 1; while (ok, newn = sum(k=1, #d, d[k])*prod(k=1,#d, d[k]); if (! newn, return (0)); if (newn == n, return (1)); n = newn; d = digits(n);););} \\ Michel Marcus, Mar 27 2015