id:A084017 - OEIS Search Results

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Smallest n-digit palindromic multiple of n with a digit sum that is also a multiple of n. For n = 10k it is sufficient that the multiple is palindromic with leading zeros ignored. 0 if no such number exists.

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1, 22, 111, 4004, 50005, 201102, 1103011, 21100112, 100070001, 1000800010, 20009090002, 210003300012, 1000276720001, 20000055000002, 500000050000005, 2110000440000112, 10000007170000001, 200000007700000002 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`In most cases the digit sum is n for large n. Conjecture: No entry is zero.`
	CROSSREFS	`Cf. A084013, A084014, A084015, A084016, A084018.` `Sequence in context: A041938 A084013 A083123 this_sequence A089184 A079466 A079676` `Adjacent sequences: A084014 A084015 A084016 this_sequence A084018 A084019 A084020`
	KEYWORD	`base,nonn`
	AUTHOR	`Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), May 23 2003`
	EXTENSIONS	`Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Jun 09 2003`

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Last modified December 8 08:31 EST 2009. Contains 170430 sequences.

AT&T Labs Research