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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
OFFSET
1,1
COMMENTS
Sequence related to the D-toothpick "wide" triangle (See A194440 and A194441). First differences of A194692.
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,...
KEYWORD
nonn,more
AUTHOR
Omar E. Pol, Sep 03 2011
STATUS
approved