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.

A053637 a(n) = ceiling(2^(n-1)/n).

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%I A053637 #16 Sep 08 2022 08:45:00
%S A053637 1,1,2,2,4,6,10,16,29,52,94,171,316,586,1093,2048,3856,7282,13798,
%T A053637 26215,49933,95326,182362,349526,671089,1290556,2485514,4793491,
%U A053637 9256396,17895698,34636834,67108864,130150525,252645136,490853406
%N A053637 a(n) = ceiling(2^(n-1)/n).
%C A053637 a(n) is a lower bound on (and may be equal to) the isometric path number of the hypercube (see Fitzpatrick et al.). - _N. J. A. Sloane_, Jan 19 2012.
%D A053637 Fitzpatrick, Shannon L.; Nowakowski, Richard J.; Holton, Derek; and Caines, Ian; Covering hypercubes by isometric paths. Discrete Math. 240 (2001), no. 1-3, 253-260.
%H A053637 Vincenzo Librandi, <a href="/A053637/b053637.txt">Table of n, a(n) for n = 1..1000</a>
%t A053637 Table[Ceiling[2^(n-1)/n],{n,1,40}] (* _Vincenzo Librandi_, Dec 19 2011 *)
%o A053637 (Magma) [Ceiling(2^(n-1)/n): n in [1..40]]; // _Vincenzo Librandi_, Dec 19 2011
%o A053637 (PARI) vector(40, n, ceil(2^(n-1)/n) ) \\ _G. C. Greubel_, May 17 2019
%o A053637 (Sage) [ceil(2^(n-1)/n) for n in [1..40]] # _G. C. Greubel_, May 17 2019
%K A053637 nonn
%O A053637 1,3
%A A053637 _N. J. A. Sloane_, Mar 23 2000