Help Find a Sequence?

davar55 · 2010-02-16, 20:45

I'm trying to find a certain sequence, so far without success.
I don't want to paste pingpong balls together, especially since
this obvious sequence must have already been computed or counted.
Help, please?

The sequence begins with 1,13,?,?,?
and gives the number of identical spheres in a most
tight packing around the previous smaller packing,
starting with one sphere.

Mini-Geek · 2010-02-16, 21:07

http://www.research.att.com/~njas/se...lish&go=Search

davar55 · 2010-02-19, 16:54

Thank you. The second sequence you found, A005902, that
begins with 1, 13, 55, 147, 309, 561, 923, 1415, is what I was
looking for. I'm surprised I missed it when I searched, but I had
expected the third term to be smaller.

2010-02-16, 20:45	#1
davar55 May 2004 New York City 5×7×11² Posts	Help Find a Sequence? I'm trying to find a certain sequence, so far without success. I don't want to paste pingpong balls together, especially since this obvious sequence must have already been computed or counted. Help, please? The sequence begins with 1,13,?,?,? and gives the number of identical spheres in a most tight packing around the previous smaller packing, starting with one sphere.

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2010-02-16, 21:07	#2
Mini-Geek Account Deleted "Tim Sorbera" Aug 2006 San Antonio, TX USA 4277₁₀ Posts	http://www.research.att.com/~njas/se...lish&go=Search

2010-02-19, 16:54	#3
davar55 May 2004 New York City 5×7×11² Posts	Thank you. The second sequence you found, A005902, that begins with 1, 13, 55, 147, 309, 561, 923, 1415, is what I was looking for. I'm surprised I missed it when I searched, but I had expected the third term to be smaller.