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.
%I A350829 #7 Apr 13 2022 07:41:36 %S A350829 1,3,0,1,1,3,0,1,8,30,88 %N A350829 Number of prime 9-tuples (or: nonuplets) with initial member (A257125) between 10^(n-1) and 10^n. %C A350829 "Between 10^(n-1) and 10^n" is equivalent to saying "with n (decimal) digits". %C A350829 A prime nonuplet is a sequence of 9 consecutive primes (p1, ..., p9) of minimal diameter p9 - p1 = 30. %C A350829 Terms a(1)-a(11) computed from b-file a(1..651) for A257125. %C A350829 Apart for n = 1 (cf. EXAMPLE), so far the last term of all the nonuplets has the same number of digits as the initial term. %e A350829 a(1) = 1 because 7 is the only single-digit prime to start a prime nonuplet, i.e., member of A257125. (All other members of this nonuplet have 2 digits.) %e A350829 a(2) = 3 because 11, 13 and 17 are the three 2-digit primes to start a prime nonuplet. %e A350829 a(3) = 0 because there is no 3-digit prime initial member of a prime nonuplet. %o A350829 (PARI) (D(v)=v[^1]-v[^-1])( [setsearch(A257125,10^n,1) | n<-[0..12]] ) \\ where A257125 is a vector of at least 3660 terms of that sequence. %Y A350829 Cf. A257125 (initial members p of prime nonuplets (p, ..., p+30)), A022545 - A022548 (idem, specifically for each of the four possible patterns). %Y A350829 Cf. A350825 - A350828: similar for quintuplets, sextuplets, septuplets and octuplets. %K A350829 nonn,base,hard,more %O A350829 1,2 %A A350829 _M. F. Hasler_, Mar 01 2022