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A054546 First differences of nonprimes (including 0 and 1, A002808). 8

%I #26 May 27 2018 13:31:05

%S 1,3,2,2,1,1,2,2,1,1,2,2,1,1,2,1,1,1,1,2,2,1,1,1,1,2,1,1,2,2,1,1,2,1,

%T 1,1,1,2,1,1,1,1,2,2,1,1,1,1,2,1,1,2,2,1,1,1,1,2,1,1,2,1,1,1,1,2,1,1,

%U 1,1,1,1,2,1,1,2,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,2

%N First differences of nonprimes (including 0 and 1, A002808).

%C Sum of first n terms equals n-th nonprime number.

%C First differences of A141468. - Omar E. Pol, Oct 21 2011

%H Harvey P. Dale, <a href="/A054546/b054546.txt">Table of n, a(n) for n = 1..1000</a>

%F a(n) = A018252(n) - A141468(n). - Omar E. Pol, Oct 21 2011

%t t=Flatten[Position[Table[PrimeQ[w], {w, 2, 256}], False]]+1 Delete[t-RotateRight[t], 1]

%t Differences[Select[Range[0,200],!PrimeQ[#]&]] (* _Harvey P. Dale_, May 27 2018 *)

%Y Cf. A141468, A066110, A001223

%K nonn,easy

%O 1,2

%A _G. L. Honaker, Jr._, Apr 09 2000

%E More terms from _James A. Sellers_, Apr 11 2000

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