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 A226467 Numbers in which each digit equals the product (mod 10) of the other digits. 1
 1, 11, 22, 33, 44, 55, 66, 77, 88, 99, 111, 199, 446, 464, 555, 644, 666, 919, 991, 1111, 1199, 1919, 1991, 2228, 2282, 2822, 2888, 3337, 3373, 3733, 3777, 4444, 4466, 4646, 4664, 5555, 6446, 6464, 6644, 6666, 7333, 7377, 7737, 7773, 8222, 8288, 8828, 8882 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The repunit numbers > 0 (A002275) are in the sequence. From Robert Israel, May 28 2014: (Start) The possibilities for the digits are as follows: only 1's: any number of digits; only 5's or only 6's: any number of digits >= 2; only 4's or only 9's: any even number of digits; only 2's, only 3's, only 7's or only 8's: any number of digits == 2 mod 4; even number of 4's and any number of 6's; even number of 9's and any number of 1's; m 2's and n 8's, or m 3's and n 7's, where m - n == 2 mod 4. (End) LINKS Robert Israel, Table of n, a(n) for n = 1..10000 EXAMPLE 464 is in the sequence because the digits 4,6,4 satisfy 4 = (6*4) mod 10; 6 = (4*4) mod 10; 4 = (4*6) mod 10. MAPLE filter:= proc(n) local L; L:= convert(n, base, 10); if not member(convert(L, set), {{1}, {2}, {3}, {4}, {5}, {6}, {7}, {8}, {9}, {1, 9}, {2, 8}, {3, 7}, {4, 6}}) then return false fi; andmap(t -> convert(subsop(t=1, L), `*`) mod 10 = L[t], [\$1..nops(L)]); end proc; select(filter, [\$1..10^5]); # Robert Israel, May 28 2014 MATHEMATICA Select[Range[10^4], IntegerDigits[#] == Mod[Times@@IntegerDigits[#]/IntegerDigits[#], 10]&] CROSSREFS Cf. A002275. Sequence in context: A352535 A113585 A071273 * A244394 A299792 A115853 Adjacent sequences: A226464 A226465 A226466 * A226468 A226469 A226470 KEYWORD nonn,base AUTHOR Michel Lagneau, Jun 08 2013 EXTENSIONS Edited by Jon E. Schoenfield, Sep 09 2017 STATUS approved

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Last modified September 7 20:21 EDT 2024. Contains 375749 sequences. (Running on oeis4.)