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.

A346998 a(n) = A022013(10^n).

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%I A346998 #16 Aug 23 2022 08:45:19
%S A346998 88713,302542763,46328924003,1409639621633,37685138975573,
%T A346998 824339812580723,16514635234360163,308319877282402613
%N A346998 a(n) = A022013(10^n).
%C A346998 The terms are the (10^n)-th initial members of the prime octuplets of the form (p, p+6, p+8, p+14, p+18, p+20, p+24, p+26). Terms a(5) and a(6) were found using a program provided by _Norman Luhn_ during an effort to find A210439(8) and A332493(8).
%C A346998 Since this prime constellation leads to the same Hardy-Littlewood constant as for A022011, the expected asymptotic behavior is also the same as in A346996 for large n. See the comment there for more information. Accordingly, the comparison value for a(6) is 1.647755*10^16 and the prediction for a(7) is 3.0824636*10^17.
%H A346998 Norman Luhn, <a href="https://pzktupel.de/counting/PI_08.php">Number of 8-tuplets with initial members < 10^n</a>, (2021).
%Y A346998 Cf. A022011, A022012, A022013, A210439, A332493, A346996, A346997.
%K A346998 nonn,hard,more
%O A346998 0,1
%A A346998 _Hugo Pfoertner_, Aug 12 2021
%E A346998 a(7) from _Norman Luhn_ and _Hugo Pfoertner_, Sep 13 2021