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

1,2

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).

Prog

(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

Crossrefs

Cf. A009994, A256240.

Sequence in context: A155106 A132258 A257860 * A360422 A109560 A260557

Adjacent sequences: A256239 A256240 A256241 * A256243 A256244 A256245

Keyword

nonn,base

Author

David A. Corneth, Mar 20 2015

Status

approved