A194693 Number of toothpicks or D-toothpicks added at n-th stage to the D-toothpick "corner" structure of A194692.

2, 2, 4, 6, 8, 8, 12, 13, 12, 10, 16, 20, 32, 20, 24, 27, 20, 10, 16, 24, 36, 41, 48, 48, 54, 34, 44, 50, 80, 48, 48, 55, 36, 10, 16, 24, 36, 41, 48, 54, 68, 62, 80, 80, 124, 95, 104, 89, 94, 44, 48, 68

Offset: 1

Author

Omar E. Pol, Sep 03 2011

Keywords

• nonn
• more

Comments

Sequence related to the D-toothpick "wide" triangle (See A194440 and A194441). First differences of A194692.

Examples

			Written as a triangle:
2,
2,
4,
6,8,
8,12,13,12,
10,16,20,32,20,24,27,20,
10,16,24,36,41,48,48,54,34,44,50,80,48,48,55,36,
10,16,24,36,41,48,54,68,62,80,80,124,95,104,89,94,44,...
		

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. A086224, A152980, A194271, A194440, A194441, A194692, A194695, A194696

Formula

a(n) = A194696(n)/2.

Conjectures for n = 2^k+j, if 0<=j<=3:

a(2^k) = 7*2^(k-2)-1, if k >= 2.

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

a(2^k+2) = 10, if k >= 3.

a(2^k+3) = 16, if k >= 3.

End conjectures.