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

1,1

Comments

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

Links

Table of n, a(n) for n=1..61.

Example

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.

Prog

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

Crossrefs

Cf. A139285.

Sequence in context: A017543 A333977 A233609 * A233601 A233850 A351431

Adjacent sequences: A378021 A378022 A378023 * A378025 A378026 A378027

Keyword

base,nonn

Author

Sergio Pimentel, Nov 14 2024

Extensions

More terms from Michel Marcus, Nov 16 2024

Status

approved