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05A10 - Combinatorics :: Enumerative combinatorics :: Factorials, binomial coefficients, combinatorial functions

  1. {n\choose r} is an integer owned by matte
  2. alternating factorial owned by PrimeFan
  3. an algebraic identity leading to Wilson's theorem owned by GeraW
  4. approximating the birthday problem owned by Algeboy
  5. asymptotics of central binomial coefficient owned by rspuzio
  6. binomial coefficient owned by matte
  7. birthday problem owned by PrimeFan
  8. Catalan numbers owned by bbukh
  9. central binomial coefficient owned by rspuzio
  10. combinations with repeated elements owned by kfgauss70
  11. divisibility of central binomial coefficient owned by rspuzio
  12. divisibility of prime-power binomial coefficients owned by rm50
  13. double factorial owned by drini
  14. exponential factorial owned by CompositeFan
  15. factorial owned by yark
  16. factorial prime owned by PrimeFan
  17. factorion owned by CompositeFan
  18. falling factorial owned by rmilson
  19. Gaussian polynomials owned by mathcam
  20. generalized binomial coefficients owned by pahio
  21. generalized factorial owned by gilbert_51126
  22. generalized Ruiz's identity owned by GeraW
  23. generating function for the Catalan numbers owned by rm50
  24. Hosoya's triangle owned by PrimeFan
  25. inductive proof of binomial theorem owned by Mathprof
  26. Leibniz harmonic triangle owned by PrimeFan
  27. Levi-Civita permutation symbol owned by matte
  28. multinomial theorem owned by bshanks
  29. multinomial theorem (proof) owned by Koro
  30. Pascal's rule (bit string proof) owned by vampyr
  31. Pascal's rule proof owned by akrowne
  32. Pascal's triangle owned by Koro
  33. proof of generalized Ruiz's identity owned by GeraW
  34. proof of upper and lower bounds to binomial coefficient owned by rspuzio
  35. recursive algorithm for factorial function owned by PrimeFan
  36. some formulas involving rising factorial owned by Wkbj79
  37. sum of powers of binomial coefficients owned by Andrea Ambrosio
  38. Taylor series of arcus sine owned by pahio
  39. things counted by the Catalan numbers owned by rm50
  40. upper and lower bounds to binomial coefficient owned by rspuzio

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