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A034052
Numbers with multiplicative digital root value 5.
19
5, 15, 35, 51, 53, 57, 75, 115, 135, 151, 153, 157, 175, 315, 351, 355, 359, 395, 511, 513, 517, 531, 535, 539, 553, 557, 571, 575, 579, 593, 597, 715, 751, 755, 759, 795, 935, 953, 957, 975, 1115, 1135, 1151, 1153, 1157, 1175, 1315, 1351, 1355, 1359, 1395
OFFSET
1,1
COMMENTS
All digits of a(n) must be odd. - Robert Israel, Oct 19 2015
MAPLE
mdr:= proc(n) option remember;
if n < 10 then return(n) fi;
procname(convert(convert(n, base, 10), `*`))
end proc:
select(mdr=5, [$1..10^5]); # Robert Israel, Oct 19 2015
MATHEMATICA
mrQ[n_]:=NestWhile[Times@@IntegerDigits[#]&, n, #>10&]==5; Select[Range[1395], mrQ[#]&] (* Jayanta Basu, May 30 2013 *)
PROG
(PARI) t(n) = {while(n>9, n=prod(i=1, #n=digits(n), n[i])); n};
for(n=0, 1e4, if(t(n) == 5, print1(n", "))); \\ Altug Alkan, Oct 19 2015
CROSSREFS
Cf. A034048, A002275, A034049, A034050, A034051, this sequence, A034053, A034054, A034055, A034056 (numbers having multiplicative digital roots 0-9).
Sequence in context: A295005 A072186 A051807 * A233348 A061829 A063382
KEYWORD
nonn,base,easy
AUTHOR
Patrick De Geest, Sep 15 1998
EXTENSIONS
Incorrect formula removed by Martin Renner, Oct 19 2015
STATUS
approved