duplicates

Christian G.Bower bowerc at usa.net
Mon Jun 13 06:09:41 CEST 2005


I don't know if Mitch mentioned on this list that in addition to
a page of possibly multiplicative sequences, he has a list of
possibly duplicate sequences.

I'm looking at one that someone on the list might help with

1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1 
A039966 An example of a d-perfect sequence. 
A104405 Number of partitions of n into distinct powers of 3. 
??

ID Number: A104405
URL:       http://www.research.att.com/projects/OEIS?Anum=A104405
Sequence:  1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,
           1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
           0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,
           1,0,1,1,0,0,0,0,0,0,0,0,0,0,0
Name:      Number of partitions of n into distinct powers of 3.

can be described as characteristic function of numbers with no "2"
in their ternary representation

ID Number: A039966
URL:       http://www.research.att.com/projects/OEIS?Anum=A039966
Sequence:  1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,
           1
Name:      An example of a d-perfect sequence.

can be described as A005043(n-1) mod 3

ID Number: A005043 (Formerly M2587)
URL:       http://www.research.att.com/projects/OEIS?Anum=A005043
Sequence:  1,0,1,1,3,6,15,36,91,232,603,1585,4213,11298,30537,83097,
           227475,625992,1730787,4805595,13393689,37458330,105089229,
           295673994,834086421,2358641376,6684761125,18985057351,
           54022715451,154000562758
Name:      Motzkin sums: a(n) = (n-1)*(2*a(n-1)+3*a(n-2))/(n+1). Also called
              Riordan numbers or ring numbers.

I've verified the 2 sequences match for the first 512 terms.

Christian








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