A194441 Number of toothpicks or D-toothpicks added at n-th stage to the structure of A194440.

0, 1, 2, 4, 4, 4, 4, 8, 8, 4, 4, 8, 12, 16, 8, 16, 16, 4, 4, 8, 12, 16, 16, 24, 26, 24, 12, 20, 28, 40, 20, 32, 32, 4, 4, 8, 12, 16, 16, 24, 26, 24, 20, 32, 40, 64, 40, 48, 54, 40, 12, 20, 32, 48, 48, 64, 70, 76, 30, 44, 64, 88, 44, 64, 64, 4, 4, 8, 12

Offset: 0

Author

Omar E. Pol, Aug 29 2011

Keywords

• nonn

Comments

Essentially the first differences of A194440.

Examples

			If written as a triangle:
0,
1,
2,
4,4,
4,4,8,8,
4,4,8,12,16,8,16,16,
4,4,8,12,16,16,24,26,24,12,20,28,40,20,32,32,
4,4,8,12,16,16,24,26,24,20,32,40,64,40,48,54,40,12,20,...
.
It appears that rows converge to A194696.
		

Links

• N. J. A. Sloane, Catalog of Toothpick and Cellular Automata Sequences in the OEIS
• Index entries for sequences related to toothpick sequences

Crossrefs

Cf. A139251, A160121, A160407, A161831, A194271, A194440, A194443, A194445, A194692, A194693, A194696.

Formula

Conjectures for n = 2^k+j, if -1<=j<=3:

a(2^k-1) = 2^k, if k >= 2.

a(2^k+0) = 2^k, if k >= 0.

a(2^k+1) = 4, if k >= 1.

a(2^k+2) = 4, if k >= 1.

a(2^k+3) = 8, if k >= 2.

End of conjectures.

Extensions

More terms from Omar E. Pol, Dec 28 2012