OFFSET
0,2
COMMENTS
a(0) = 1 corresponds to the empty sum, in which all terms are colored in one among five given colors, since there is no term at all.
LINKS
M. F. Hasler, Table of n, a(n) for n = 0..50
FORMULA
a(n) = Sum_{k=1..n} A091298(n,k)*5^k.
EXAMPLE
For n = 1, there is only the partition [1], which can be colored in any of the five colors, whence a(1) = 5.
For n = 2, there are the partitions [2], [1,1] and [1;1]. Adding colors, this yields a(2) = 5 + 25 + 25 = 55 distinct possibilities.
PROG
(PARI) a(n)=!n+sum(k=1, n, A091298(n, k)*5^k)
CROSSREFS
KEYWORD
nonn
AUTHOR
M. F. Hasler, Sep 22 2018
STATUS
approved