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a(0)=0. a(n) = a(n-1) + sum of positive integers which are <= n and not part of the sequence.
0

%I #8 Sep 16 2015 04:39:31

%S 0,1,3,5,11,17,29,48,75,111,157,203,261,332,417,517,633,749,883,1036,

%T 1209,1403,1619,1858,2121,2409,2723,3064,3433,3802,4201,4631,5093,

%U 5588,6117,6681,7281,7918,8593,9307,10061,10856,11693,12573,13497

%N a(0)=0. a(n) = a(n-1) + sum of positive integers which are <= n and not part of the sequence.

%e The positive integers which are <= 7 and are missing from the terms a(0) through a(6) are 2,4,6,7. So a(7) = a(6) + 2+4+6+7 = 48.

%t a = {0}; For[n = 1, n < 60, n++, co = 0; For[i = 0, i <n + 1, i++, If[Length[ Intersection[{i}, a]] == 0, co = co + i]]; AppendTo[a, a[[ -1]] + co]]; a (* _Stefan Steinerberger_, Jun 05 2007 *)

%K nonn

%O 0,3

%A _Leroy Quet_, Jun 01 2007

%E More terms from _Stefan Steinerberger_, Jun 05 2007