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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.
1

%I #6 Aug 25 2014 12:17:04

%S 1,22,111,4004,50005,201102,1103011,21100112,100070001,1000800010,

%T 20009090002,210003300012,1000276720001,20000055000002,

%U 500000050000005,2110000440000112,10000007170000001,200000007700000002

%N 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.

%C In most cases the digit sum is n for large n. Conjecture: No entry is zero.

%Y Cf. A084013, A084014, A084015, A084016, A084018.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_ and Meenakshi Srikanth (menakan_s(AT)yahoo.com), May 23 2003

%E Corrected and extended by _Ray Chandler_, Jun 09 2003