The On-Line Encyclopedia of Integer Sequences (OEIS)

A267694 revision #13

A267694

Q-toothpick sequence in the first quadrant starting with two Q-toothpicks centered at (1,1). The endpoints of the left hand Q-toothpick are at (0,1) and (1,2). The endpoints of the right hand Q-toothpick are at (1,0) and (2,1). With a(0) = 0.

0, 2, 5, 9, 16, 20, 27, 39, 54, 58, 65, 77, 92, 104, 127, 163, 194, 198, 205, 217, 232, 244, 267, 303, 334, 346

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

COMMENTS

a(n) is the total number of Q-toothpicks in the structure after n-th stage.

A267695 (the first differences) gives the number of Q-toothpicks added at n-th stage.

a(n) is also the total number of Q-toothpicks minus 1 after n+2 stages in the SW quadrant of the Q-toothpick structure of A187210, but with origing at (1,1) instead (0,0), and assuming that the initial Q-toothpick is in the first quadrant with origin at (0,0), if n>=1 . For more information see the comments and the formula of A187210.

LINKS

Table of n, a(n) for n=0..25.

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

Index entries for sequences related to cellular automata

Index entries for sequences related to toothpick sequences

CROSSREFS

Cf. A139250, A187210, A187220, A267695, A267698.

Sequence in context: A351100 A054253 A045649 * A024519 A160664 A345140

Adjacent sequences: A267691 A267692 A267693 * A267695 A267696 A267697

KEYWORD

nonn,more

AUTHOR

Omar E. Pol, Jan 23 2016

STATUS

editing