OFFSET
1,2
COMMENTS
As this sequence is a subsequence of A238985 which is conjectured to be finite, this sequence is conjectured to be finite. - David A. Corneth, Jan 28 2023
This sequence seems to contain 11055 terms. - Felix Huber, Apr 11 2024
LINKS
Felix Huber, Table of n, a(n) for n = 1..11055
FORMULA
Integers k = (x_1)^(m_1) * ... * (x_i)^(m_i) where x_j is the j-th digit of zeroless k and m_j is a nonnegative integer and 1 <= j <= i.
EXAMPLE
672 is in the sequence via 672 = 6^2 * 7^1 * 2^4.
2592 is in the sequence via 2592 = 2^5 * 5^0 * 9^2 * 2^0.
PROG
(PARI) is(n) = {if(n <= 1, return(n == 1)); my(d = Set(digits(n))); if(d[1] == 0, return(0)); d = setminus(d, Set(1)); forvec(x = vector(#d, i, [0, valuation(n, d[i])]), c = prod(i = 1, #d, d[i]^x[i]); if(c == n, return(1) ) ); 0 } \\ David A. Corneth, Jan 05 2023
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Felix Huber, Jan 03 2023
STATUS
approved