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Euler formula for partition function

$p(k)=\sum_{d=1}^{\infty}(-1)^{d+1}\left(p\left(k-\frac{d(3d-1)}{2}\right)+ p\left(k-\frac{d(3d+1)}{2}\right)\right)$


5h
revised How many ways are there of choosing $k$ distinct items from a set of $n$?
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5h
answered How many ways are there of choosing $k$ distinct items from a set of $n$?
1d
revised For a complex number $c$, how does a plot of $c^{-4},c^{-3}, c^{-2}, c^{-1},c^0, c^1,\dots, c^4$ look like?
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1d
comment Find $\int_{-1}^1 (8x^3 + 14x^2 + 6x + 3)dx$.
$\int_a^b x^n dx = \frac{b^{n+1}}{n+1}-\frac{a^{n+1}}{n+1},n\neq-1$
2d
comment How to determine $\int e^{2x} \sqrt{e^x+1}dx$?
Do you understand now.
2d
revised How to determine $\int e^{2x} \sqrt{e^x+1}dx$?
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2d
revised How to determine $\int e^{2x} \sqrt{e^x+1}dx$?
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2d
answered How to determine $\int e^{2x} \sqrt{e^x+1}dx$?
Aug
27
revised Proving injective (1-1) using contrapositive
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Aug
27
reviewed Approve suggested edit on Integral of $1/(1+x \tan(x))^2$
Aug
26
revised Calculating multi-variable limit.
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Aug
26
revised Limit problem using sequential criteria for limits
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Aug
26
answered process of summing series
Aug
25
comment Implicit differentiation of trig functions
Yes. Thank you. Corrected.
Aug
25
revised Implicit differentiation of trig functions
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Aug
25
answered Implicit differentiation of trig functions
Aug
25
revised In a triangle ABC, (b + c) cos A + (c + a) cos B + (a + b) cos C is equal to
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Aug
22
revised Shorter way to integrate $\int \frac{x^9}{(x^2+4)^6} \, \mathrm{d}x$
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Aug
22
answered Shorter way to integrate $\int \frac{x^9}{(x^2+4)^6} \, \mathrm{d}x$
Aug
22
revised Proof by Induction [Number Theory by George E. Andrews 1-1 #2]
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