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A228823
Triangle read by rows: T(n,k) = total number of parts in all partitions of n that contain k as a part, n>=1, 1<=k<=n.
1
1, 2, 1, 5, 2, 1, 9, 5, 2, 1, 17, 9, 5, 2, 1, 27, 17, 9, 5, 2, 1, 46, 27, 17, 9, 5, 2, 1, 69, 46, 27, 17, 9, 5, 2, 1, 108, 69, 46, 27, 17, 9, 5, 2, 1, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1, 234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1, 331, 234, 158, 108, 69
OFFSET
1,2
COMMENTS
Row n lists the first n elements of A093694 in decreasing order.
FORMULA
T(n,k) = A000041(n-k) + A006128(n-k) = A093694(n-k).
EXAMPLE
Triangle begins:
1;
2, 1;
5, 2, 1;
9, 5, 2, 1;
17, 9, 5, 2, 1;
27, 17, 9, 5, 2, 1;
46, 27, 17, 9, 5, 2, 1;
69, 46, 27, 17, 9, 5, 2, 1;
108, 69, 46, 27, 17, 9, 5, 2, 1;
158, 108, 69, 46, 27, 17, 9, 5, 2, 1;
234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1;
331, 234, 158, 108, 69, 46, 27, 17, 9, 5, 2, 1;
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Omar E. Pol, Sep 25 2013
STATUS
approved