A225297 Numbers divisible by their last digit cubed.

1, 11, 21, 31, 32, 41, 51, 61, 64, 71, 72, 81, 91, 101, 111, 112, 121, 125, 131, 141, 151, 152, 161, 171, 181, 191, 192, 201, 211, 216, 221, 231, 232, 241, 243, 251, 261, 271, 272, 281, 291, 301, 311, 312, 321, 331, 341, 351, 352, 361, 371, 375, 381, 384, 391

Offset

1,2

Comments

Numbers k such that (k mod 10)^3 | k.

All numbers ending in 1 are trivially included in this sequence.

The sequence is { 1+10k, 32 + 40k, 243 + 270k, 64 + 320k, 125 + 250k, 216 + 1080k, 3087 + 3430k, 2048 + 2560k, 729 + 7290k ; k = 0,1,2,...}. - M. F. Hasler, Jan 31 2016

The asymptotic density of this sequence is 2201597407/16003008000 = 0.137573... . - Amiram Eldar, Aug 08 2023

Links

Christian N. K. Anderson, Table of n, a(n) for n = 1..10000

Example

a(16) = 112 is divisible by 2^3.

Mathematica

Select[Range[400], (m = Mod[#, 10]) > 0 && Divisible[#, m^3] &] (* Amiram Eldar, Aug 08 2023 *)

Prog

(R) x=0; y=rep(0, 100); len=0; isint<-function(x) x==as.integer(x); while(len<100) if((x=x+1)%%10>0) if(isint(x/(x%%10)^3)) y[(len=len+1)]=x
(PARI) is(n)=n%10&&n%(n%10)^3==0 \\ M. F. Hasler, Jan 31 2016

Crossrefs

Cf. A132359, A034709, A034837, A005349, A007602, A034838.

Sequence in context: A308232 A049201 A068633 * A123849 A108812 A216100

Adjacent sequences: A225294 A225295 A225296 * A225298 A225299 A225300

Keyword

nonn,base

Author

Kevin L. Schwartz and Christian N. K. Anderson, May 04 2013

Status

approved