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A162796
Number of toothpicks in the toothpick structure A139250 that are orthogonal to the initial toothpick after n even rounds.
10
0, 2, 6, 14, 22, 30, 42, 70, 86, 94, 106, 134, 154, 182, 222, 310, 342, 350, 362, 390, 410, 438, 478, 566, 602, 630, 670, 758, 814, 906, 1046, 1302, 1366, 1374, 1386, 1414, 1434, 1462, 1502, 1590, 1626, 1654, 1694, 1782, 1838, 1930, 2070, 2326, 2394, 2422, 2462
OFFSET
0,2
COMMENTS
Also, partial sums of A162794.
LINKS
David Applegate, Omar E. Pol and N. J. A. Sloane, The Toothpick Sequence and Other Sequences from Cellular Automata, 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.]
MAPLE
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
MATHEMATICA
terms = 100;
Cases[Import["https://oeis.org/A139251/b139251.txt", "Table"], {_, _}][[;; 2terms;; 2, 2]] // Accumulate (* Jean-François Alcover, Mar 24 2020 *)
KEYWORD
nonn
AUTHOR
Omar E. Pol, Jul 14 2009
EXTENSIONS
Extended by R. J. Mathar, Sep 27 2009
STATUS
approved