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.

A036100 Centered cube numbers: (n+1)^22 + n^22.

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%I A036100 #14 Sep 08 2022 08:44:52
%S A036100 1,4194305,31385253913,17623567104025,2401777977060041,
%T A036100 134005889633282761,4041442752425255185,77696797343421194513,
%U A036100 1058557878478449439345,10984770902183611232881
%N A036100 Centered cube numbers: (n+1)^22 + n^22.
%C A036100 Can never be prime, as a(n) = (2n^2 + 2n + 1) * (n^20 + 10n^19 + 105n^18 + 660n^17 + 2945n^16 + 9892n^15 + 25942n^14 + 54384n^13 + 92530n^12 + 128988n^11 + 148070n^10 + 140152n^9 + 109136n^8 + 69498n^7 + 35819n^6 + 14704n^5 + 4693n^4 + 1122n^3 + 189n^2 + 20n + 1). a(2) is semiprime (see A001358). [_Jonathan Vos Post_, Aug 17 2011]
%D A036100 B. K. Teo and N. J. A. Sloane, Magic numbers in polygonal and polyhedral clusters, Inorgan. Chem. 24 (1985), 4545-4558.
%H A036100 Vincenzo Librandi, <a href="/A036100/b036100.txt">Table of n, a(n) for n = 0..10000</a>
%t A036100 Total/@(Partition[Range[0,10],2,1]^22) (* _Harvey P. Dale_, Jun 28 2015 *)
%o A036100 (Magma) [(n+1)^22+n^22: n in [0..20]]; // _Vincenzo Librandi_, Aug 28 2011
%Y A036100 Cf. A010810, A036098, A036099.
%K A036100 nonn,easy
%O A036100 0,2
%A A036100 _N. J. A. Sloane_