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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 (list; graph; refs; listen; history; text; internal format)
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 A127451

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

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Last modified March 26 18:36 EDT 2019. Contains 321511 sequences. (Running on oeis4.)