Generating-function proofs establish two binomial expectation inequalities that imply unimodality near zero and positive/negative asymmetry for heady-s bit-string score counts.
Litt,X-post, March 16 2024,https://x.com/littmath/status/1769044719034647001
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2representative citing papers
Derives recursive and closed formulas for moments of waiting times for prescribed words in coin flips and die rolls using one-parameter Eulerian number extensions, Goulden-Jackson cluster method, and Faà di Bruno's formula.
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On Two Combinatorial Inequalities That Explain the Blimpy Shape of Heady-s and Taily-s Bit Strings
Generating-function proofs establish two binomial expectation inequalities that imply unimodality near zero and positive/negative asymmetry for heady-s bit-string score counts.
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Moments for generalizations of a coin flip game
Derives recursive and closed formulas for moments of waiting times for prescribed words in coin flips and die rolls using one-parameter Eulerian number extensions, Goulden-Jackson cluster method, and Faà di Bruno's formula.