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 A061915 Obtain m by omitting trailing zeros from n; a(n) = smallest multiple k*m which is a palindrome with even digits, or -1 if no such multiple exists. 3
 0, 2, 2, 6, 4, -1, 6, 686, 8, 666, 2, 22, 444, 2002, 686, -1, 464, 646, 666, 646, 2, 6006, 22, 828, 888, -1, 2002, 8886888, 868, 464, 6, 868, 4224, 66, 646, -1, 828, 222, 646, 6006, 4, 22222, 6006, 68886, 44, -1, 828, 282, 4224, 686, -1, 42024, 4004, 424, 8886888, -1, 8008, 68286, 464, 68086, 6 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS a(n) = -1 if and only if m ends with the digit 5. LINKS P. De Geest, Smallest multipliers to make a number palindromic. EXAMPLE For n = 30 we have m = 3; 3*2 = 6 is a palindrome with even digits, so a(30) = 6. PROG (ARIBAS): stop := 500000; for n := 0 to 60 do k := 1; test := true; while test and k < stop do mp := omit_trailzeros(n)*k; if test := not all_even(mp) or mp <> int_reverse(mp) then inc(k); end; end; if k < stop then write(mp, " "); else write(-1, " "); end; end; CROSSREFS Cf. A050782, A062293, A061816, A061906. Values of k are given in A061916. Sequence in context: A324122 A324349 A092384 * A138565 A137316 A064851 Adjacent sequences:  A061912 A061913 A061914 * A061916 A061917 A061918 KEYWORD base,sign,easy AUTHOR Klaus Brockhaus, Jun 25 2001 STATUS approved

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Last modified September 23 12:11 EDT 2021. Contains 347617 sequences. (Running on oeis4.)