Numbers n such that sigma(n) = (sum of digits of n)!

1, 20132, 2005210, 2007010, 2030212, 2203102, 22121210, 33200201, 220000026, 230110302, 2301403000, 2320213000, 2410132000, 3201112210, 4000014202, 400230021120, 414102021000, 430011013020, 532010011110, 10001300332030, 10010123111032, 10030302411010, 10060311020110, 10120001550010, 20002100200081, 20105032001011

OFFSET

1

COMMENTS

Numbers n such that G2(n) = G3(G4(n)).

PROGRAMS

Sidef

var values = []

for t in (1..13) {
    var n = t!
    values += n.inverse_sigma.grep { .sumdigits == t }
}

say values.sort.join(", ")