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.

A173537 a(n) = A173522(n)/2.

This page as a plain text file.
%I A173537 #7 Feb 24 2021 02:48:19
%S A173537 2,4,7,10,13,17,23,28,31,35,41,47,53,61,73,82,85,89,95,101,107,115,
%T A173537 127,137,143,151,163,175,187,203,227,244,247,251,257,263,269,277,289,
%U A173537 299,305,313,325,337,349,365,389,407,413,421,433,445,457,473,497,517,529,545,569,593,617,649,697,730,733,737,743,749,755,763,775,785,791,799,811,823,835
%N A173537 a(n) = A173522(n)/2.
%H A173537 David Applegate, Omar E. Pol and N. J. A. Sloane, <a href="/A000695/a000695_1.pdf">The Toothpick Sequence and Other Sequences from Cellular Automata</a>, Congressus Numerantium, Vol. 206 (2010), 157-191. [There is a typo in Theorem 6: (13) should read u(n) = 4.3^(wt(n-1)-1) for n >= 2.]
%H A173537 N. J. A. Sloane, <a href="/wiki/Catalog_of_Toothpick_and_CA_Sequences_in_OEIS">Catalog of Toothpick and Cellular Automata Sequences in the OEIS</a>
%t A173537 f[n_] := f[n] = Sum[Binomial[1, n - k] Mod[ Binomial[k, j], 2], {k, 0, n}, {j, 0, k}]; g[n_] := Sum[f@k, {k, 0, n}]; Array[g, 77]/2
%Y A173537 Cf. A105321, A139250, A173522.
%K A173537 nonn
%O A173537 2,1
%A A173537 _Omar E. Pol_, May 29 2010
%E A173537 I changed the title (its index), the offset, extended the sequence and added the Mathematica coding _Robert G. Wilson v_, Jun 28 2010