A188283 Numbers k such that iterations for the map r -> A061602(r) starting with k ends with a fixed point (factorions A014080).

0, 1, 2, 10, 11, 145, 154, 223, 232, 322, 405, 415, 450, 451, 504, 514, 540, 541, 569, 596, 659, 695, 956, 965, 1023, 1032, 1123, 1132, 1203, 1213, 1223, 1230, 1231, 1232, 1302, 1312, 1320, 1321, 1322, 1449, 1494, 1569, 1596, 1659, 1695, 1944, 1956, 1965, 2003

Offset: 1

Author

Jaroslav Krizek, Mar 26 2011

Keywords

• nonn
• base

Comments

If k is a term, then (10^k - 1)/9 is also a term. - Jinyuan Wang, Nov 07 2020

Examples

			Number 405 is in sequence because 405 -> 145 -> 145 -> ...
		

Crossrefs

Supersequence of A014080 (factorions).

Cf. A061602, A173447, A188284.

Programs

PARI

is(k) = {my(t=k, v=List([k])); while(t=sum(i=1, #d=digits(t), d[i]!), if(t==v[#v], return(1), if(sum(i=1, #v-1, t==v[i]), return(0))); listput(v, t)); } \\ Jinyuan Wang, Nov 07 2020

Extensions

Missing terms a(1) and a(8)-a(10) added by Jaroslav Krizek, Jan 28 2012

Name corrected and more terms from Jinyuan Wang, Nov 07 2020