[seqfan] A053799 = A000982 + A008749

john.mason at lispa.it john.mason at lispa.it
Thu Jan 8 13:44:32 CET 2015


Dear friends
I noticed that (at least for the first 48 terms), A053799 = A000982 + 
A008749, though A053799 makes no mention of the other two.

Definitions:
A053799 :  Number of basis partitions of n+9 with Durfee square size 3 
A000982 :  Ceiling(n^2/2)
A008749 :  Expansion of (1+x^6)/(1-x)/(1-x^2)/(1-x^3) 

I hesitate in editing the "formula" section of A053799 , as I have no idea 
WHY the addition works.

john




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