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.

A162796 Number of toothpicks in the toothpick structure A139250 that are orthogonal to the initial toothpick after n even rounds.

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%I A162796 #14 Feb 24 2021 02:48:18
%S A162796 0,2,6,14,22,30,42,70,86,94,106,134,154,182,222,310,342,350,362,390,
%T A162796 410,438,478,566,602,630,670,758,814,906,1046,1302,1366,1374,1386,
%U A162796 1414,1434,1462,1502,1590,1626,1654,1694,1782,1838,1930,2070,2326,2394,2422,2462
%N A162796 Number of toothpicks in the toothpick structure A139250 that are orthogonal to the initial toothpick after n even rounds.
%C A162796 Also, partial sums of A162794.
%H A162796 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 A162796 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>
%p A162796 a139251 := BFILETOLIST("b139251.txt") ; A162794 := proc(n) global a139251; op(2*n,a139251) ; end: A162796 := proc(n) add( A162794(k),k=1..n) ; end: seq(A162796(n),n=1..120) ; # _R. J. Mathar_, Sep 27 2009
%t A162796 terms = 100;
%t A162796 Cases[Import["https://oeis.org/A139251/b139251.txt", "Table"], {_, _}][[;; 2terms;; 2, 2]] // Accumulate (* _Jean-François Alcover_, Mar 24 2020 *)
%Y A162796 Cf. A139250, A139251, A159791, A159792, A162793, A162794, A162795, A162797.
%K A162796 nonn
%O A162796 0,2
%A A162796 _Omar E. Pol_, Jul 14 2009
%E A162796 Extended by _R. J. Mathar_, Sep 27 2009