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 A055669 #20 Aug 01 2025 08:49:41 %S A055669 24,96,144,192,288,336,432,480,576,720,768,912,1008,1056,1152,1296, %T A055669 1440,1488,1632,1728,1776,1920,2016,2160,2352,2448,2496,2592,2640, %U A055669 2736,3072,3168,3312,3360,3600,3648,3792,3936,4032,4176,4320,4368,4608,4656,4752 %N A055669 Number of prime Hurwitz quaternions of norm prime(n). %C A055669 Number of vectors of norm p in D_4 lattice (cf. A004011). %D A055669 L. E. Dickson, Algebras and Their Arithmetics, Dover, 1960, Section 91. %H A055669 T. D. Noe, <a href="/A055669/b055669.txt">Table of n, a(n) for n=1..1000</a> %H A055669 L. E. Dickson, <a href="https://archive.org/details/117770259">Algebras and Their Arithmetics</a>, Univ. of Chicago Press, 1923, Section 91 (page 147). %F A055669 a(n) = 24 * (prime(n)+1) = 24 * A008864(n) for n >= 2. %F A055669 a(n) = 24*A055670(n). %F A055669 a(n) = A004011(prime(n)). - _R. J. Mathar_, Aug 01 2025 %t A055669 Join[{24},24(#+1)&/@Prime[Range[2,50]]] (* _Harvey P. Dale_, Mar 12 2013 *) %Y A055669 Cf. A055670, A055671, A055672. %Y A055669 Cf. A240068 (number of prime Lipschitz quaternions having norm prime(n)). %K A055669 nonn,easy,nice %O A055669 1,1 %A A055669 _N. J. A. Sloane_, Jun 09 2000 %E A055669 More terms from _David W. Wilson_, May 02 2001