id:A061674 - OEIS Search Results

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Smallest k such that k*n is a palindrome or becomes a palindrome when 0's are added on the left.

+0
3

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 38, 5, 2, 5, 16, 5, 9, 1, 12, 1, 7, 25, 2, 19, 37, 9, 8, 1, 14, 25, 1, 8, 2, 7, 3, 13, 15, 1, 16, 6, 23, 1, 2, 9, 3, 44, 7, 1, 19, 13, 4, 185, 1, 11, 3, 4, 13, 1, 442, 7, 4, 33, 9, 1, 11, 4, 6, 1, 845, 35, 4, 3, 4, 65, 1, 11, 6, 1, 12345679, 8, 9, 3 (list; graph; listen)

	OFFSET	`0,13`
	COMMENT	`Every positive integer is a factor of a palindrome, unless it is a multiple of 10 (D. G. Radcliffe, see Links).`
	LINKS	`P. De Geest, Smallest multipliers to make a number palindromic.`
	EXAMPLE	`a(12) = 5 since 5*12 = 60 (i.e. 060) is a palindrome.`
	PROGRAM	`(ARIBAS): stop := 50000000; for n := 0 to 100 do k := 1; test := true; while test and k < stop do m := omit_trailzeros(n*k); if test := m <> int_reverse(m) then inc(k); end; end; if k < stop then write(k, " "); else write(-1, " "); end; end;`
	CROSSREFS	`Cf. A050782, A062293. Values of k*n are given in A062279.` `Adjacent sequences: A061671 A061672 A061673 this_sequence A061675 A061676 A061677` `Sequence in context: A089795 A081971 A086877 this_sequence A097276 A145156 A163698`
	KEYWORD	`nonn,base,easy,nice`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jun 17 2001`

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Last modified November 8 07:45 EST 2009. Contains 166143 sequences.

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