cp's OEIS Frontend

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.

A245175 Second differences of A038580.

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%I A245175 #25 Oct 27 2023 22:04:07
%S A245175 14,8,40,-16,46,-44,46,68,-58,100,-66,-54,54,82,38,-204,314,-214,-64,
%T A245175 176,-20,6,120,-72,-158,34,-58,28,680,-590,4,-2,304,-386,208,44,-180,
%U A245175 146,-74,-114,408,-458,136,-158,652,340,-902,-66,60,42,-30,490,-466,228
%N A245175 Second differences of A038580.
%H A245175 Alois P. Heinz, <a href="/A245175/b245175.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from Jens Kruse Andersen)
%H A245175 R. G. Batchko, <a href="http://arxiv.org/abs/1405.2900">A prime fractal and global quasi-self-similar structure in the distribution of prime-indexed primes</a>, arXiv preprint arXiv:1405.2900, 2014. See Table 2.
%p A245175 a:= ((f-> n-> f(n+1)-f(n))@@2)(ithprime@@3):
%p A245175 seq(a(n), n=1..60);
%t A245175 Differences[Nest[Prime, Range[60], 3], 2] (* _Jean-François Alcover_, Oct 06 2018 *)
%o A245175 (PARI) f(n) = prime(prime(prime(n)))
%o A245175 a(n) = f(n+2)-2*f(n+1)+f(n)
%o A245175 vector(50, n, a(n)) \\ _Jens Kruse Andersen_, Jul 18 2014
%Y A245175 Cf. A038580.
%K A245175 sign
%O A245175 1,1
%A A245175 _N. J. A. Sloane_, Jul 17 2014