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 A261448 Numbers n >= 100 that are divisible by n mod 100. 0
 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified April 18 10:01 EDT 2024. Contains 371779 sequences. (Running on oeis4.)