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A364793
Number of partitions of n with at most four part sizes.
2
1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77, 101, 135, 175, 229, 292, 375, 470, 591, 733, 905, 1103, 1343, 1615, 1938, 2309, 2726, 3211, 3758, 4379, 5069, 5865, 6716, 7694, 8769, 9967, 11254, 12732, 14264, 16025, 17877, 19959, 22149, 24605, 27147, 30012, 33006, 36294, 39742, 43573, 47524
OFFSET
0,3
FORMULA
a(n) = Sum_{k=1..4} A116608(n,k).
PROG
(Python)
from sympy.utilities.iterables import partitions
def A364793(n): return sum(1 for p in partitions(n) if len(p)<=4) # Chai Wah Wu, Sep 14 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 14 2023
STATUS
approved