A278441 Numbers n such that n | A244112(n).

1, 2, 5, 10, 22, 26, 32, 62, 91, 330, 370, 519, 575, 710, 1060, 4055, 29377, 79554, 108690, 150320, 306440, 2510048, 3605570, 14233221, 14331231, 14333110, 14509410, 15143331, 15233221, 15331231, 15333110, 16143331, 16153331, 16233221, 16331231, 16333110, 17143331

Offset

1,2

Comments

The sequence is bounded. See comment in A278439.

Links

Table of n, a(n) for n=1..37.

Paolo P. Lava, List of terms  and corresponding ratios for n <= 10^9.

Example

A244112(519) = 191511 and 191511 / 519 = 369.

Maple

with(numtheory): P:=proc(q) local a, b, c, d, j, k, n; for n from 1 to q do a:=sort(convert(n, base, 10));
for k from 1 to trunc(nops(a)/2) do c:=a[k]; a[k]:=a[nops(a)-k+1]; a[nops(a)-k+1]:=c; od;  k:=1; b:=a[1]; c:=0;
for j from 2 to nops(a) do if a[j]=b then k:=k+1; else d:=10*k+b; c:=c*10^(ilog10(d)+1)+d; k:=1; b:=a[j]; fi; od;
d:=10*k+b; c:=c*10^(ilog10(d)+1)+d; if type(c/n, integer) then print(n); fi; od; end: P(10^99);

Crossrefs

Cf. A237605, A244112, A278439, A278440.

Sequence in context: A360748 A151497 A263307 * A323939 A110744 A079342

Adjacent sequences: A278438 A278439 A278440 * A278442 A278443 A278444

Keyword

nonn,easy,base,fini

Author

Paolo P. Lava, Nov 25 2016

Status

approved