This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A330981 #45 Dec 23 2024 14:53:46
%S A330981 43,47,73,87,223,227,253,267,283,289,337,343,349,367,379,397,433,439,
%T A330981 463,467,469,477,489,493,523,553,583,643,647,649,669,673,677,687,689,
%U A330981 733,747,787,799,823,827,829,849,853,869,883,887,889,943,997
%N A330981 Remodd numbers: having an odd remainder modulo all of their digits, digit 0 forbidden.
%C A330981 No term may have a digit 0 or 1, therefore the asymptotic density is zero and would be so even if the definition is changed to "digits 0 are allowed but ignored", since pandigital numbers A171102 have asymptotic density 1.
%C A330981 Does not contain any remeven number (A330982), thus in particular none of A010785 (repdigits) or its superset A034838 (divisible by all digits) or A014263 (only even digits). Also no multiples of 2 or 5 (A005843 or A008587) which are even modulo the last digit (unless it is 0), so all terms end in 3, 7 or 9.
%C A330981 Contains the infinite subsequence (43, 433, 4333, ...), but after {47, 477, 4777} not 47777 = 6825*7 + 2, and after {73, 733} not 7333 = 1047*7 + 4, and after {87, 887} not 8887 = 1269*7 + 4.
%C A330981 The first term which contains the digits 2..9 is a(784795) = 224567983. - _Giovanni Resta_, Jan 07 2020
%H A330981 Giovanni Resta, <a href="/A330981/b330981.txt">Table of n, a(n) for n = 1..10000</a>
%H A330981 Eric Angelini, <a href="https://web.archive.org/web/*/http://list.seqfan.eu/oldermail/seqfan/2020-January/">Remeven numbers</a>, SeqFan list, Jan 05 2020.
%e A330981 43 is in the sequence because 43 mod 4 = 3 and 43 mod 3 = 1 both are odd.
%o A330981 (PARI) select( {is(n, d=Set(digits(n)))=d[1]&&!for(j=1,#d, bittest(n%d[j],0)||return)}, [1..2000])
%o A330981 (Magma) [k:k in [1..1000]|not 0 in Intseq(k) and forall{d:d in Intseq(k)|IsOdd(k mod d)}]; // _Marius A. Burtea_, Jan 07 2020
%Y A330981 Cf. A330982 (remeven numbers).
%Y A330981 Cf. A171102 (pandigitals), A010785 (repdigits), A014263 (only even digits), A034838 (divisible by all digits).
%K A330981 nonn,base
%O A330981 1,1
%A A330981 _Eric Angelini_ and _M. F. Hasler_, Jan 05 2020