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.

A036091 Centered cube numbers: (n+1)^13+n^13.

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%I A036091 #24 Sep 08 2022 08:44:52
%S A036091 1,8193,1602515,68703187,1287811989,14281397141,109949704423,
%T A036091 646644824295,3091621642217,12541865828329,44522712143931,
%U A036091 141515917523003,409868311971325,1096589879846397,2739909841613519
%N A036091 Centered cube numbers: (n+1)^13+n^13.
%C A036091 Never prime, as a(n) = (2n + 1) * (n^12 + 6n^11 + 36n^10 + 125n^9 + 295n^8 + 496n^7 + 610n^6 + 553n^5 + 367n^4 + 174n^3 + 56n^2 + 11n + 1).  Semiprime for n in {1, 8, 15, 21, 86, 135, 141, 249, 260, 278, 323, 326, 363, ...}. - _Jonathan Vos Post_, Aug 26 2011
%H A036091 Vincenzo Librandi, <a href="/A036091/b036091.txt">Table of n, a(n) for n = 0..10000</a>
%H A036091 B. K. Teo and N. J. A. Sloane, <a href="http://dx.doi.org/10.1021/ic00220a025">Magic numbers in polygonal and polyhedral clusters</a>, Inorgan. Chem. 24 (1985), 4545-4558.
%p A036091 A036091:=n->(n + 1)^13 + n^13; seq(A036091(n), n=0..20); # _Wesley Ivan Hurt_, Apr 01 2014
%t A036091 Table[(n + 1)^13 + n^13, {n, 0, 20}] (* _Wesley Ivan Hurt_, Apr 01 2014 *)
%o A036091 (Magma) [(n+1)^13+n^13: n in [0..20]]; // _Vincenzo Librandi_, Aug 27 2011
%Y A036091 Cf. A036085, A036087, A036088, A036089, A036090.
%K A036091 nonn,easy
%O A036091 0,2
%A A036091 _N. J. A. Sloane_