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A194693 Number of toothpicks or D-toothpicks added at n-th stage to the D-toothpick "corner" structure of A194692. 5
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 (list; graph; refs; listen; history; text; internal format)
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: A081488 A199117 A194695 * A176528 A108891 A147570

Adjacent sequences:  A194690 A194691 A194692 * A194694 A194695 A194696

KEYWORD

nonn,more

AUTHOR

Omar E. Pol, Sep 03 2011

STATUS

approved

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Last modified December 4 06:30 EST 2016. Contains 278749 sequences.