A035961

[vdmcc]

Olivier,

while I was doing a post mortem on the plane partitions ("safe pilings")
with C3 symmetry, I noted that there are three 'subsequences' visible in the
plot of:
{{13,2},{14,2},{16,2},{17,2},{19,4},{20,4},{22,6},{23,6},{25,10},{26,12},{28
,
    14},{29,18},{31,22},{32,32},{33,2},{34,28},{35,46},{36,4},{37,40},{38,

72},{39,8},{40,54},{41,104},{42,14},{43,74},{44,156},{45,26},{46,96},{47,
    222},{48,42},{49,130},{50,326},{51,72},{52,166},{53,454},{54,112},{55,

218},{56,644},{57,178},{58,278},{59,888},{60,270},{61,358},{62,1236},{63,
    414},{64,452}}

subsequence n mod 3==2 :   {13,#},{16,#},{19,#},{22,#},... is
2 * {0,0,0,1,1,2,3,5,7,11,14,20,27,37,48,65,83,109,139,179,226}

this looks a lot like your  A035961:

 ID Number: A035961
Sequence:
1,2,3,5,7,11,14,20,27,37,48,65,83,109,139,179,225,287,357,449,556,691,

848,1047,1276,1561,1893,2299,2772,3348,4015,4820,5756,6874,8171,9716,
           11501,13614,16058,18932,22249,26138,30613,35838,41848,48831
Name:      Partitions in parts not of the kind 15k, 15k+7 or 15k-7. Also
partitions with at
most 6 parts of size 1 and differences between parts at distance 6 are
greater than 1.
Comments:  Case k=7,i=7 of Gordon Theorem.
References G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p.
109.
Keywords:  nonn,easy,part
Offset:    1
Author(s): Olivier Gerard (ogerard at ext.jussieu.fr)

BUT: my last (?!) term is 226, while you get 225 there.

Could you (help me to) generate a list of those 225 "items", so that I can
look for a
correspondence with my C3-pilings ?
Maybe I got one too many, maybe you 'missed' one, maybe there is no
correspondence
between both sequences, despite their 'similarity'.

wouter.


w.meeussen.vdmcc at vandemoortele.be
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