A378024 Smallest k >= 10 whose decimal representation read in base (n+10) is a multiple of k.

1913268348854, 11788, 1557, 126357, 145, 1038, 1757, 116, 153, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 10, 21, 11, 23, 12, 25, 13, 27, 14, 29, 10, 31, 16, 11, 17, 35, 12, 37, 19, 13, 10, 41, 14, 43, 11, 15, 23, 47, 12, 49, 10, 17, 13, 53, 18, 11, 14, 19, 29, 59, 10, 61

Offset: 1

Author

Sergio Pimentel, Nov 14 2024

Keywords

• base
• nonn

Comments

This is a variation of A139285 that has terms beyond n=10.

Examples

			a(5)=145 because 145 read in base 15 is 1*15^2+4*15+5=290 = 2*145 and no other number below 145 has this property except for the trivial values < 10.
		

Crossrefs

Cf. A139285.

Programs

PARI

a(n) = my(k=10); while(fromdigits(digits(k), n+10) % k, k++); k; \\ Michel Marcus, Nov 16 2024

Extensions

More terms from Michel Marcus, Nov 16 2024