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A077739 Smallest multiple of n beginning and ending in n and having a digit sum of n, or 0 if no such number exists. 1

%I #5 Dec 05 2013 19:55:56

%S 1,2,3,4,5,6,7,8,9,10810,0,12612,1310413,1411214,15315,162016,0,1818,

%T 0,207920,2116821,227722,2318423,244824,252925,269126,272727,283528,

%U 2923229,3069930,31275931,3268832,3375933,3457834,3546935,369936

%N Smallest multiple of n beginning and ending in n and having a digit sum of n, or 0 if no such number exists.

%C Conjecture: a(n) = 0 if and only if n is 11, 17 or 19.

%e a(23) = 2318423= 100801*23 and digit sum = 23. a(11) = a(17) = 0.

%Y Cf. A077740.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Nov 20 2002

%E Corrected and extended by _Ray Chandler_, Sep 05 2003

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Last modified April 25 06:14 EDT 2024. Contains 371964 sequences. (Running on oeis4.)