VOOZH about

URL: https://oeis.org/A117124

⇱ A117124 - OEIS

login
A117124
Numbers that when multiplied by 37 produce a palindrome number.
0
3, 6, 9, 12, 15, 18, 21, 24, 27, 33, 66, 99, 132, 273, 303, 333, 363, 393, 423, 453, 483, 513, 546, 576, 606, 636, 666, 696, 726, 756, 819, 849, 879, 909, 939, 969, 999, 1092, 1122, 1152, 1182, 1212, 1242, 1365, 1395, 1425, 1455, 1485, 1638, 1668, 1698, 1728
OFFSET
1,1
COMMENTS
a(249191) = 135378621865 is the first term which is not a multiple of 3. - Giovanni Resta, Jul 09 2018
EXAMPLE
273 * 37 = 10101
363 * 37 = 13431
MAPLE
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
CROSSREFS
Sequence in context: A292641 A085126 A190083 * A323422 A071073 A329844
KEYWORD
nonn,base
AUTHOR
EXTENSIONS
Corrected by T. D. Noe, Nov 01 2006
STATUS
approved