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

0,3

Comments

Essentially the first differences of A194440.

Links

Table of n, a(n) for n=0..68.

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

Index entries for sequences related to toothpick sequences

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.

Example

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.

Crossrefs

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

Sequence in context: A183226 A235863 A220495 * A220521 A236680 A162798

Adjacent sequences: A194438 A194439 A194440 * A194442 A194443 A194444

Keyword

nonn

Author

Omar E. Pol, Aug 29 2011

Extensions

More terms from Omar E. Pol, Dec 28 2012

Status

approved