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A164653 a(1) = 1, for n>=2: a(n) = sum of two consecutive noncomposite numbers A008578. 2

%I #23 Nov 05 2023 09:03:56

%S 1,3,5,8,12,18,24,30,36,42,52,60,68,78,84,90,100,112,120,128,138,144,

%T 152,162,172,186,198,204,210,216,222,240,258,268,276,288,300,308,320,

%U 330,340,352,360,372,384,390,396,410,434,450,456,462,472,480,492,508

%N a(1) = 1, for n>=2: a(n) = sum of two consecutive noncomposite numbers A008578.

%C Basically these are the sums of two successive primes. - _N. J. A. Sloane_, Nov 16 2018

%C Essentially the same as A001043, A011974 and A069102.

%H Paolo Xausa, <a href="/A164653/b164653.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = A158611(n) + A158611(n+1).

%F a(n) = A008578(n-1) + A008578(n) for n >= 2.

%F a(n) = A076273(n-1) + 1 for n >= 2.

%F a(n) = A000040(n-1) + A008578(n-1) for n >= 2. - _Jaroslav Krizek_, Dec 13 2009

%t ListConvolve[{1,1},Join[{0,1},Prime[Range[100]]]] (* _Paolo Xausa_, Nov 02 2023 *)

%Y Cf. A000040, A001043, A008578, A011974, A069102, A076273, A158611.

%K nonn

%O 1,2

%A _Jaroslav Krizek_, Aug 19 2009

%E Edited by _R. J. Mathar_, Aug 21 2009

%E Correction for change of offset in A158611 and A008578 in Aug 2009 by _Jaroslav Krizek_, Jan 27 2010

%E Formulas edited by _Paolo Xausa_, Nov 04 2023

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Last modified September 14 16:47 EDT 2024. Contains 375929 sequences. (Running on oeis4.)