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DLMF:26.10.E11
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Formula:8587
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MaRDI QID
Q8587
Label: DLMF:26.10.E11
Digital Library of Mathematical Functions ID
26.10.E11
p
(
∈
S
,
n
)
=
1
n
∑
t
=
1
n
p
(
∈
S
,
n
-
t
)
∑
j
|
t
j
∈
S
j
,
restricted-partitions-P
absent
𝑆
𝑛
1
𝑛
superscript
subscript
𝑡
1
𝑛
restricted-partitions-P
absent
𝑆
𝑛
𝑡
subscript
divides
𝑗
𝑡
𝑗
𝑆
𝑗
{\displaystyle{\displaystyle p\left(\in\!S,n\right)=\frac{1}{n}\sum_{t=1}^{n}p% \left(\in\!S,n-t\right)\sum_{\begin{subarray}{c}j\mathbin{|}t\\ j\in S\end{subarray}}j,}}
Constraint(s)
Symbols List
∈
{\displaystyle{\displaystyle\in}}
:
p
(
condition
,
n
)
restricted-partitions-P
condition
𝑛
{\displaystyle{\displaystyle p\left(\NVar{\mathrm{condition}},\NVar{n}\right)}}
:
j
𝑗
{\displaystyle{\displaystyle j}}
: nonnegative integer
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
S
𝑆
{\displaystyle{\displaystyle S}}
: set
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