OFFSET

1,2

COMMENTS

For the definition of k-th rank see A208478.

EXAMPLE

For n = 4 the partitions of 4 and the four types of ranks of the partitions of 4 are

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Partitions First Second Third Fourth

of 4 rank rank rank rank

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4 4-1 = 3 0-1 = -1 0-1 = -1 0-1 = -1

3+1 3-2 = 1 1-1 = 0 0-1 = -1 0-0 = 0

2+2 2-2 = 0 2-2 = 0 0-0 = 0 0-0 = 0

2+1+1 2-3 = -1 1-1 = 0 1-0 = 1 0-0 = 0

1+1+1+1 1-4 = -3 1-0 = 1 1-0 = 1 1-0 = 1

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The number of partitions of 4 with positive k-th ranks are 2, 1, 2, 1 so the total sum is a(4) = 2+1+2+1 = 6.

CROSSREFS

KEYWORD

nonn

AUTHOR

Omar E. Pol, Mar 07 2012

EXTENSIONS

More terms from Alois P. Heinz, Mar 11 2012

STATUS

approved