login
A238632
Number of partitions of 5^n into parts that are at most 5.
2
1, 7, 377, 106852, 55567352, 33432635477, 20735819929227, 12940003469288602, 8085018247233663602, 5052825953808096554227, 3157977415776418319210477, 1973731034215692844676632352, 1233581290054852867292137569852, 770988230493054044846859764522977
OFFSET
0,2
LINKS
Index entries for linear recurrences with constant coefficients, signature (781,-101530,2538250,-12203125,9765625).
FORMULA
a(n) = [x^(5^n)] Product_{j=1..5} 1/(1-x^j).
G.f.: (1953125*x^5+4828125*x^4-2015125*x^3+96440*x^2-774*x+1) / Product_{j=0..4} 1-5^j*x.
MAPLE
gf:= (1953125*x^5+4828125*x^4-2015125*x^3+96440*x^2-774*x+1)/mul(1-5^j*x, j=0..4):
a:= n-> coeff(series(gf, x, n+1), x, n):
seq(a(n), n=0..20);
CROSSREFS
Row n=5 of A238016.
Sequence in context: A332137 A261824 A084001 * A073908 A250345 A201114
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Mar 01 2014
STATUS
approved