# Granger

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 5 Flipping coins on a budget 4 Torus based cryptography 4 The phenomena of eventual counterexamples 1 expected number of shared 1s between two binary strings from a given set

# 187 Reputation

 +5 Identifying the generating function $G(a,z) = \sum_{n=0}^{\infty} a^n z^{(n+1)(n+2)/2}.$ +5 Reference requested for $\lim_{n \rightarrow \infty} \frac{\sum_{i=1}^{n} \bar{s}(i)}{n^2} = \frac{\pi^2}{30}$ +15 Asymptotics of a function +10 expected number of shared 1s between two binary strings from a given set

# 3 Questions

 8 Identifying the generating function $G(a,z) = \sum_{n=0}^{\infty} a^n z^{(n+1)(n+2)/2}.$ 5 Reference requested for $\lim_{n \rightarrow \infty} \frac{\sum_{i=1}^{n} \bar{s}(i)}{n^2} = \frac{\pi^2}{30}$ 3 Asymptotics of a function

# 11 Tags

 5 co.combinatorics × 2 0 big-list 5 pr.probability 0 gm.general-mathematics 4 cryptography 0 generating-functions 1 probabilistic-number-theo 0 reference-request 0 nt.number-theory × 2 0 big-picture

# 1 Account

 MathOverflow 187 rep 17