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 A225722 Numbers divisible by their last digit cubed, excluding those whose last digit is 1. 3
 32, 64, 72, 112, 125, 152, 192, 216, 232, 243, 272, 312, 352, 375, 384, 392, 432, 472, 512, 513, 552, 592, 625, 632, 672, 704, 712, 729, 752, 783, 792, 832, 872, 875, 912, 952, 992, 1024, 1032, 1053, 1072, 1112, 1125, 1152, 1192, 1232, 1272, 1296, 1312, 1323 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS a(n) ~ n. For 69 < n < 10000, the formula 26.61*n - 2.76 provides an estimate of a(n) to within 1%. The asymptotic density of this sequence is 601296607/16003008000 = 0.037573... . Therefore, contrary to the above comment, a(n) ~ c*n where c = 16003008000/601296607 = 26.614166... . - Amiram Eldar, Aug 08 2023 LINKS Christian N. K. Anderson, Table of n, a(n) for n = 1..10000 EXAMPLE a(5) = 125 is an example because its last digit is 5, and 5^3 = 125, and 125 is divisible by 125. MATHEMATICA dldcQ[n_]:=Module[{ld=Last[IntegerDigits[n]]}, ld>1&&Divisible[n, ld^3]]; Select[Range[1500], dldcQ] (* Harvey P. Dale, Aug 15 2014 *) PROG (R) which(sapply(1:1000, function(x) x%%10>1 & (v=x/(x%%10)^3)==as.integer(v) )) CROSSREFS Subsequence of A225297. Cf. A221651, A225296, A132359, A034709, A034837, A005349, A007602, A034838. Sequence in context: A206371 A255561 A116318 * A195330 A122616 A174312 Adjacent sequences: A225719 A225720 A225721 * A225723 A225724 A225725 KEYWORD nonn,base AUTHOR Kevin L. Schwartz and Christian N. K. Anderson, May 13 2013 STATUS approved

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Last modified February 26 04:47 EST 2024. Contains 370335 sequences. (Running on oeis4.)