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A117124 Numbers that when multiplied by 37 produce a palindrome number. 0

%I

%S 3,6,9,12,15,18,21,24,27,33,66,99,132,273,303,333,363,393,423,453,483,

%T 513,546,576,606,636,666,696,726,756,819,849,879,909,939,969,999,1092,

%U 1122,1152,1182,1212,1242,1365,1395,1425,1455,1485,1638,1668,1698,1728

%N Numbers that when multiplied by 37 produce a palindrome number.

%C a(249191) = 135378621865 is the first term which is not a multiple of 3. - _Giovanni Resta_, Jul 09 2018

%e 273 * 37 = 10101

%e 363 * 37 = 13431

%p R:=proc(w) local a,k,x; x:=0; a:=convert(w,base,10); for k from 1 to nops(a) do x:=10*x+a[k]; od; x; end: P:=proc(n) local k; if 37*n=R(37*n) then n; fi; end: seq(P(i),i=1..1728); # _Paolo P. Lava_, Jul 09 2018

%K nonn,base

%O 1,1

%A _Paolo P. Lava_ and _Giorgio Balzarotti_, Apr 20 2006

%E Corrected by _T. D. Noe_, Nov 01 2006

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Last modified September 19 07:08 EDT 2021. Contains 347554 sequences. (Running on oeis4.)