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.

A350005 a(n) is the smallest number that starts an arithmetic progression of n consecutive ludic numbers (A003309), or 0 if no such number exists.

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%I A350005 #8 Dec 12 2021 20:29:22
%S A350005 1,1,1,71,6392047
%N A350005 a(n) is the smallest number that starts an arithmetic progression of n consecutive ludic numbers (A003309), or 0 if no such number exists.
%C A350005 a(n) is the smallest ludic number A003309(k), such that A260723(k) = A260723(k+1) = ... = A260723(k+n-2).
%C A350005 a(6) > 10^8 (unless a(6) = 0).
%e A350005 The first arithmetic progression of 3 consecutive ludic numbers is (1, 2, 3), so a(3) = 1.
%e A350005 The first arithmetic progression of 4 consecutive ludic numbers is (71, 77, 83, 89), so a(4) = 71.
%e A350005 The first arithmetic progression of 5 consecutive ludic numbers is (6392047, 6392077, 6392107, 6392137, 6392167), so a(5) = 6392047.
%Y A350005 From n = 3, first row of A350007.
%Y A350005 Cf. A003309, A260723.
%Y A350005 Counterparts for other sequences than ludic numbers: A006560 (primes), A228433 (abundant numbers), A231623 (deficient numbers), A276821 (Sophie Germain primes), A330362 (lucky numbers).
%K A350005 nonn,more
%O A350005 1,4
%A A350005 _Pontus von Brömssen_, Dec 08 2021