A306689 Integers m with decimal expansion m = abc...z such that m is a multiple of both az and za; z may not be zero.

11, 22, 33, 44, 55, 66, 77, 88, 99, 121, 242, 363, 484, 1001, 1092, 1111, 1207, 1221, 1275, 1331, 1441, 1458, 1512, 1551, 1661, 1729, 1771, 1785, 1881, 1932, 1991, 2002, 2112, 2184, 2222, 2332, 2442, 2552, 2662, 2772, 2882, 2992, 3003, 3276, 3333, 3663, 3993, 4004, 4032

Offset: 1

Author

Reiner Moewald, Mar 05 2019

Keywords

• nonn
• base

Comments

Every power of 11 is a term. - N. J. A. Sloane, Jul 14 2019

Examples

			1512 is in the list since 12*126=1512 and 21*72=1512.
		

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A073729.

Programs

Python

for a in range(1,1000):
   for b in range (1, 10):
      numb = 10*a + b
      f = int(str(numb)[0])
      first = 10*f + b
      last = 10*b + f
      if numb %  first == 0 and numb % last == 0 :
         print(numb, end=', ')