OFFSET
1,3
COMMENTS
The sequence lists the number of "feasible" partitions of the first natural number (3^(n-1)+1)/2 of length n. Here n resembles m in A254296 which describes "feasible" partitions.
LINKS
Md Towhidul Islam & Md Shahidul Islam, Number of Partitions of an n-kilogram Stone into Minimum Number of Weights to Weigh All Integral Weights from 1 to n kg(s) on a Two-pan Balance, arXiv:1502.07730 [math.CO], 2015.
FORMULA
a(n) = A254296((3^(n-1)+1)/2).
EXAMPLE
The smallest natural numbers "feasibly" partitionable into 1, 2, 3, 4 and 5 parts respectively are 1,2,5,14 and 41. From A254296, the number of "feasible" partitions of them are 1,1,2,10 and 131.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Md. Towhidul Islam, Jan 30 2015
EXTENSIONS
a(10)-a(11) from Md. Towhidul Islam, Apr 18 2015
STATUS
approved