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A262873 Predestined numbers A262743 in which every term is generated by at least one pair of products where all (and only those) first product's factor's digits are, in reverse order, the same as those of the second two factors.

%I A262873 #40 Oct 09 2015 08:25:33
%S A262873 504,756,806,868,1008,1148,1176,1209,1472,1475,1512,1638,1708,2016,
%T A262873 2184,2208,2418,2548,2730,2772,2924,3024,3388,4416
%N A262873 Predestined numbers A262743 in which every term is generated by at least one pair of products where all (and only those) first product's factor's digits are, in reverse order, the same as those of the second two factors.
%C A262873 In this sequence, the position of the multiplication sign in the reversed order is irrelevant, so, e.g., 11088 (48*231 and 132*84), 1176 (4*294 and 49*24) and 2548 (4*637 and 7*364) are in the sequence.
%D A262873 Francesco Di Matteo, Sequenze ludiche, Game Edizioni (2015), page 34.
%H A262873 Francesco Di Matteo, <a href="/A262873/b262873.txt">Table of n, a(n) for n = 1..132</a>
%H A262873 Algebra.com, <a href="http://www.algebra.com/algebra/homework/real-numbers/real-numbers.faq.question.265287.html">Question 265287</a>
%H A262873 A. Marchini and F. Di Matteo, <a href="/A262873/a262873.txt">All the first 132 terms calculated</a>
%H A262873 Math Forum at Drexel, <a href="http://mathforum.org/library/drmath/view/63003.html">Reversing the Digits</a>
%e A262873 504  = 12*42 = 24*21;
%e A262873 756  = 12*63 = 36*21;
%e A262873 806  = 13*62 = 26*31;
%e A262873 868  = 4*217 = 7*124;
%e A262873 1008 = 12*84 = 48*21;
%e A262873 1148 = 14*82 = 28*41;
%e A262873 1176 = 4*294 = 49*24, etc.
%Y A262873 Subsequence of A262743.
%Y A262873 Cf. A228164 (contains only symmetrical digits' factors)
%K A262873 nonn,base
%O A262873 1,1
%A A262873 _Francesco Di Matteo_, Oct 03 2015