A248209 Numbers n such that n - A007953(n) contains the same distinct digits as n.

54, 243, 297, 432, 486, 621, 675, 810, 864, 1018, 1143, 1197, 1225, 1332, 1386, 1410, 1443, 1521, 1522, 1525, 1571, 1575, 1577, 1710, 1764, 1775, 1810, 1908, 1918, 1953, 1997, 2043, 2097, 2125, 2232, 2233, 2286, 2321, 2332, 2333, 2421, 2475, 2521, 2610

Offset: 1

Author

Derek Orr, Oct 03 2014

Keywords

• nonn
• easy
• base

Crossrefs

Cf. A247887 (similar, with n + A007953(n)).

Programs

Magma

[n: n in [1..3000] | Set(Intseq(n-&+Intseq(n))) eq Set(Intseq(n))]; // Bruno Berselli, Oct 12 2014

PARI

for(n=1, 10^4, d=digits(n); if(vecsort(digits(n), , 8)==vecsort(digits(n-sumdigits(n)), , 8), print1(n, ", ")))

PARI

is(n)=Set(digits(n))==Set(digits(n-sumdigits(n))) \\ Charles R Greathouse IV, Oct 12 2014

Formula

a(n) ~ n. More specifically, a(n) - n = O(n^k * log n) with k = log 9/log 10. (This bound is not tight.) - Charles R Greathouse IV, Oct 12 2014