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

Offset: 0

Author

Omar E. Pol, Jan 23 2016

Keywords

• nonn
• more

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

• 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.