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

1,1

Comments

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

Links

Table of n, a(n) for n=1..52.

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

Index entries for sequences related to toothpick sequences

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.

Example

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,...

Crossrefs

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

Sequence in context: A199117 A348781 A194695 * A308841 A176528 A108891

Adjacent sequences: A194690 A194691 A194692 * A194694 A194695 A194696

Keyword

nonn,more

Author

Omar E. Pol, Sep 03 2011

Status

approved