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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A164653 #23 Nov 05 2023 09:03:56
%S A164653 1,3,5,8,12,18,24,30,36,42,52,60,68,78,84,90,100,112,120,128,138,144,
%T A164653 152,162,172,186,198,204,210,216,222,240,258,268,276,288,300,308,320,
%U A164653 330,340,352,360,372,384,390,396,410,434,450,456,462,472,480,492,508
%N A164653 a(1) = 1, for n>=2: a(n) = sum of two consecutive noncomposite numbers A008578.
%C A164653 Basically these are the sums of two successive primes. - _N. J. A. Sloane_, Nov 16 2018
%C A164653 Essentially the same as A001043, A011974 and A069102.
%H A164653 Paolo Xausa, <a href="/A164653/b164653.txt">Table of n, a(n) for n = 1..10000</a>
%F A164653 a(n) = A158611(n) + A158611(n+1).
%F A164653 a(n) = A008578(n-1) + A008578(n) for n >= 2.
%F A164653 a(n) = A076273(n-1) + 1 for n >= 2.
%F A164653 a(n) = A000040(n-1) + A008578(n-1) for n >= 2. - _Jaroslav Krizek_, Dec 13 2009
%t A164653 ListConvolve[{1,1},Join[{0,1},Prime[Range[100]]]] (* _Paolo Xausa_, Nov 02 2023 *)
%Y A164653 Cf. A000040, A001043, A008578, A011974, A069102, A076273, A158611.
%K A164653 nonn
%O A164653 1,2
%A A164653 _Jaroslav Krizek_, Aug 19 2009
%E A164653 Edited by _R. J. Mathar_, Aug 21 2009
%E A164653 Correction for change of offset in A158611 and A008578 in Aug 2009 by _Jaroslav Krizek_, Jan 27 2010
%E A164653 Formulas edited by _Paolo Xausa_, Nov 04 2023