A261448 Numbers n >= 100 that are divisible by n mod 100.

101, 102, 104, 105, 110, 120, 125, 150, 201, 202, 204, 205, 208, 210, 220, 225, 240, 250, 301, 302, 303, 304, 305, 306, 310, 312, 315, 320, 325, 330, 350, 360, 375, 401, 402, 404, 405, 408, 410, 416, 420, 425, 440, 450, 480, 501, 502, 504, 505, 510, 520, 525, 550

Offset: 1

Author

Giovanni Teofilatto, Aug 19 2015

Keywords

• nonn
• base
• easy

Comments

This sequence can be seen as the union of 99 linear sequences of the form a_i*k+i, for i=1,...,99 and k>0, where a_i depends on i. For example, 100*k+1, 100*k+2, 300*k+3,..., 4700*k+94, 1900*k+95,..., 9900*k+99. Hence, in analogy with A034709, there exist two numbers p and q such that a(p*k+i) = q*k + a(i), where q <= lcm(1,2,...,99). - Giovanni Resta, Aug 20 2015

Crossrefs

Cf. A034709, A178158.

Programs

Mathematica

Select[Range[100, 1000], Quiet@ Divisible[#, Mod[#, 100]] &] (* Giovanni Resta, Aug 19 2015 *)

PARI

isok(n) = (n>100) && (dd = n % 100) && !(n % dd); \\ Michel Marcus, Aug 19 2015

Extensions

More terms from Michel Marcus, Aug 19 2015