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.

A073829 a(n) = 4*((n-1)! + 1) + n.

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%I A073829 #23 Jul 15 2025 11:35:31
%S A073829 9,10,15,32,105,490,2891,20172,161293,1451534,14515215,159667216,
%T A073829 1916006417,24908083218,348713164819,5230697472020,83691159552021,
%U A073829 1422749712384022,25609494822912023,486580401635328024,9731608032706560025,204363768686837760026
%N A073829 a(n) = 4*((n-1)! + 1) + n.
%D A073829 Paulo Ribenboim, The Little Book of Bigger Primes, Springer-Verlag NY 2004. See p. 192.
%D A073829 James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 112.
%H A073829 Winston de Greef, <a href="/A073829/b073829.txt">Table of n, a(n) for n = 1..449</a> (first 200 terms from Vincenzo Librandi)
%H A073829 P. A. Clement, <a href="https://doi.org/10.2307/2305816">Congruences for sets of primes</a>, Am. Math. Monthly 56 (1) (1949) 23-25.
%t A073829 Table[(4 ((n - 1)! + 1) + n), {n, 1, 20}] (* _Vincenzo Librandi_, May 04 2014 *)
%o A073829 (Magma) [4*(Factorial(n-1)+1)+n: n in [1..20]]; // _Vincenzo Librandi_, May 04 2014
%o A073829 (Sage) [4*(factorial(n-1) + 1) + n for n in range(1,22)] # _Stefano Spezia_, Apr 21 2025
%Y A073829 See A073830 for motivation.
%Y A073829 Cf. A038507.
%K A073829 nonn,easy
%O A073829 1,1
%A A073829 _Reinhard Zumkeller_, Aug 12 2002