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

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

Table of n, a(n) for n=0..50.

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.]

N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS

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 *)

Crossrefs

Cf. A139250, A139251, A159791, A159792, A162793, A162794, A162795, A162797.

Sequence in context: A262506 A228649 A268641 * A172304 A160164 A074729

Adjacent sequences: A162793 A162794 A162795 * A162797 A162798 A162799

Keyword

nonn

Author

Omar E. Pol, Jul 14 2009

Extensions

Extended by R. J. Mathar, Sep 27 2009

Status

approved