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

1,1

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

Links

Table of n, a(n) for n=1..53.

Mathematica

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

Prog

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

Crossrefs

Cf. A034709, A178158.

Sequence in context: A183086 A134808 A274612 * A213312 A261021 A271642

Adjacent sequences: A261445 A261446 A261447 * A261449 A261450 A261451

Keyword

nonn,base,easy

Author

Giovanni Teofilatto, Aug 19 2015

Extensions

More terms from Michel Marcus, Aug 19 2015

Status

approved