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A351742
Number of partitions of 2n into n parts of size 1, 5, 10 or 25.
2
1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 1, 1, 3, 2, 2, 1, 3, 3, 2, 1, 4, 3, 2, 2, 4, 3, 3, 2, 4, 4, 3, 2, 5, 4, 3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 7, 5, 4, 4, 7, 5, 5, 4, 7, 7, 5, 4, 8, 7, 5
OFFSET
0,25
LINKS
Index entries for linear recurrences with constant coefficients, signature (0,0,0,1,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,-1,0,0,0,1).
FORMULA
G.f.: -1/(x^37-x^33-x^28+x^24-x^13+x^9+x^4-1).
a(n) = A351725(2n,n).
EXAMPLE
a(0) = 1: [].
a(4) = 1: [{5}^1,{1}^3].
a(24) = 2: [{5}^6,{1}^18], [{25}^1,{1}^23].
a(36) = 3: [{5}^9,{1}^27], [{10}^4,{1}^32], [{25}^1,{5}^3,{1}^32].
CROSSREFS
Cf. A351725.
Sequence in context: A371244 A353835 A033183 * A090677 A161097 A105240
KEYWORD
nonn,easy
AUTHOR
Alois P. Heinz, Feb 17 2022
STATUS
approved