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

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

Links

Table of n, a(n) for n=1..52.

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

Adjacent sequences: A117121 A117122 A117123 * A117125 A117126 A117127

Keyword

nonn,base

Author

Paolo P. Lava and Giorgio Balzarotti, Apr 20 2006

Extensions

Corrected by T. D. Noe, Nov 01 2006

Status

approved