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Positive integers not appearing in sequence A098572, which calculates the values of floor(sum(m^(1/m),n=1..m)).
0

%I #1 Sep 22 2004 03:00:00

%S 4,8,12,17,24,32,41,52,66,82,101,124,150,181,217,259,307,362,426,500,

%T 583,679,788,911,1051,1209,1387,1588,1814,2067,2351,2668,3022,3418,

%U 3858,4347,4891,5494,6162,6902,7719,8622,9618,10715,11923,13252,14711,16314

%N Positive integers not appearing in sequence A098572, which calculates the values of floor(sum(m^(1/m),n=1..m)).

%e floor(1^(1/1)+2^(1/2)+3^(1/3))=3, floor(1^(1/1)+2^(1/2)+3^(1/3)+4^(1/4))=5 and so 4 is a member of this sequence.

%p ans:=[]: a:=0: last:=0: n:=1: do: a:=a+evalf(n^(1/n),50): if floor(a)-last>1 then ans:=[op(ans),floor(a)-1]: fi: last:=floor(a): n:=n+1: od:

%Y Cf. A098572.

%K easy,nonn

%O 1,1

%A Mark Hudson (mrmarkhudson(AT)hotmail.com), Sep 16 2004

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