OFFSET
1,1
LINKS
J. Stauduhar, Table of n, a(n) for n = 1..10000
FORMULA
a(n) ~ exp(Pi*sqrt(2*n/3)) / (Pi*2^(3/2)*sqrt(n)). - Vaclav Kotesovec, May 24 2018
EXAMPLE
With n = 3, 2n = 6. The partitions of 6 are {{6}, {5,1}, {4,2}, {4,1,1}, {3,3}, {3,2,1}, {3,1,1,1}, {2,2,2}, {2,2,1,1}, {2,1,1,1,1}, {1,1,1,1,1,1}}. The last 2-tuple is located at position 5. The positions of all 2-tuples are 2, 3, and 5.
MATHEMATICA
RecurrenceTable[{a[n+1] == a[n] + PartitionsP[(n)], a[1] == 2}, a, {n, 1, 44}]
CROSSREFS
KEYWORD
nonn
AUTHOR
J. Stauduhar, Oct 12 2012
STATUS
approved