BinomialDistribution[n, p] represents a binomial distribution with n trials and success probability p.
EulerE
(Built-in Mathematica Symbol) EulerE[n] gives the Euler number E_n. EulerE[n, x] gives the Euler polynomial E_n (x).
BorelTannerDistribution[\[Alpha], n] represents a Borel\[Dash]Tanner distribution with shape parameters \[Alpha] and n.
RecurrenceTable[eqns, expr, {n, n_max}] generates a list of values of expr for successive n based on solving the recurrence equations eqns.RecurrenceTable[eqns, expr, nspec] ...
FisherHypergeometricDistribution[n, n_succ, n_tot, w] represents a Fisher noncentral hypergeometric distribution.
BatesDistribution[n] represents the distribution of a mean of n random variables uniformly distributed from 0 to 1.BatesDistribution[n, {min, max}] represents the ...
LucasL
(Built-in Mathematica Symbol) LucasL[n] gives the Lucas number L_n.LucasL[n, x] gives the Lucas polynomial L_n (x).
HypergeometricDistribution[n, n_succ, n_tot] represents a hypergeometric distribution.
Evaluating sums. Mathematica recognizes this as the power series expansion of e^x. This sum comes out in terms of a Bessel function.
InverseFourierSequenceTransform[expr, \[Omega], n] gives the inverse discrete-time Fourier transform of expr.InverseFourierSequenceTransform[expr, {\[Omega]_1, \[Omega]_2, \ ...