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A160426 Toothpick sequence starting from an asymmetric cross, with four edges of length 1, 2, 3 and 4, formed by five toothpicks of length 2. +0
9
0, 5, 9, 17, 30, 42, 52, 69, 90, 102, 112, 129, 150, 170 (list; graph; listen)
OFFSET

0,2

COMMENT

On the infinite square grid we start at stage 0 with no toothpicks. At stage 1 we place three consecutive toothpicks and two orthogonal toothpicks, as an asymetric cross with four edges of length 1, 2, 3, and 4, then a(1)=5. At stage 2 we place 4 toothpicks. And so on...

The sequence gives the number of toothpicks in the sieve after n stages. A160427 (the first differences) gives the number added at the nth stage. See A139250 for more information about toothpick sequences.

CROSSREFS

Cf. A139250, A139251, A160740, A160800, A160802, A160808.

Sequence in context: A100449 A146284 A081295 this_sequence A059743 A000322 A020737

Adjacent sequences: A160423 A160424 A160425 this_sequence A160427 A160428 A160429

KEYWORD

more,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), May 25 2009, May 29 2009

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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