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A043277
Maximal run length in base 3 representation of n.
9
1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 3, 3, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 3, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2
OFFSET
1,4
COMMENTS
Sequences A031941, A037973, A037974, A037975 list numbers for which a(n)=1, a(n)=2, a(n)=3, a(n)=4. - M. F. Hasler, Jul 23 2013
A003462 gives the positions of records. - R. J. Mathar, Jul 26 2015
LINKS
MAPLE
mRunLen := proc(L)
if nops(L) = 0 then
0;
else
a := 1 ;
for i from 2 to nops(L) do
if op(i, L) = op(i-1, L) then
a := a+1 ;
else
a := max(a, procname([op(i..nops(L), L)])) ;
break;
end if;
end do:
a ;
end if ;
end proc:
A043277 := proc(n)
convert(n, base, 3) ;
mRunLen(%) ;
end proc:
seq(A043277(n), n=1..100) ; # R. J. Mathar, Jul 26 2015
MATHEMATICA
Table[Max[Length/@Split[IntegerDigits[n, 3]]], {n, 90}] (* Harvey P. Dale, Aug 24 2019 *)
PROG
(PARI) A043277(n, b=3)={my(m, c=1); while(n>0, n%b==(n\=b)%b && c++ && next; m=max(m, c); c=1); m} \\ - M. F. Hasler, Jul 23 2013
CROSSREFS
Cf. A043276-A043290 for base-2 to base-16 analogs.
Sequence in context: A025890 A334440 A316975 * A265991 A353841 A322871
KEYWORD
nonn,base
STATUS
approved