def element(cls, n, unbound=False):
"""returns value for element N in the series"""
#assert type(n) is IntType
inRange(n, 46, unbound)
return cls._h.element(n)
def elementIt(cls, n, unbound=False):
inRange(n, 46, unbound)
return cls._h.elementIt(n)
# ##@class A005248
# #sequence [A005248](https://oeis.org/A005248)
# #
# class A005248:
# @classmethod
# def element(cls, n, unbound = False):
# return Lucas.element(2 * n)
# @classmethod
# def elementIt(cls, n, unbound = False):
# return cls._h.elementIt(2 * n)
# ##@class A002878
# #sequence [A002878](https://oeis.org/A002878)
# #
# class A002878:
# @classmethod
# def element(cls, n, unbound = False):
# return Lucas.element(2 * n + 1)
# @classmethod
# def elementIt(cls, n, unbound = False):
# return Lucas.elementIt(2 * n + 1)
# ##@class A240926
# #sequence [A240926](https://oeis.org/A240926)
# #
#class A240926(Base):
"""a(n) = 2 + L(2*n)"""
def element(cls, n, unbound=False):
inRange(n, 9, unbound)
if n == 0:
return 1
elif n == 1:
return 7
return 6 * cls.element(n - 1) - cls.element(n - 2)
def element(cls, N, unbound=False):
inRange(N, 249, unbound) #recursive type context too complex for C(++)
if N == 0:
return 1
f = cls.element(N - 1)
return N - Male.element(f)
def element(cls, N, unbound=False):
inRange(N, 249, unbound)
if N == 0:
return 0
m = cls.element(N - 1)
return N - Female.element(m)
def element(cls, n, unbound=False):
"""recursive function which returns the value of !n"""
#assert type(n) is IntType, 'arg n must be a non-negative integer value'
inRange(n, 20, unbound)
if n == 0 or n == 1:
return 1
return n * cls.element(n - 1)
def element(cls, N, unbound=False):
inRange(N, 251, unbound)
if N == 1 or N == 2:
return 1
next = cls.element(N - 1)
n2Val = cls.element(N - 2)
return cls.element(next) + cls.element(N - n2Val - 1)
def element(cls, N, unbound=False):
#f(N) = N - h(h(h(N-1)))
inRange(N, 166, unbound)
if N == 0:
return 0
val = cls.element(N - 1)
h0 = cls.element(val)
return N - cls.element(h0)
def element(cls, N, unbound=False):
#static_assert(N <= 249, "");
inRange(
N, 249, unbound
) #recursive type context too complex in C, could potentially blow stack
if N == 0:
return 0
val = cls.element(N - 1)
return N - cls.element(val)
def elementIt(cls, n, unbound=False):
"""iterative function which returns the value of !n"""
#assert type(n) is IntType, 'arg n must be a non-negative integer value'
inRange(n, 20, unbound)
if n == 0 or n == 1:
return 1
ret = 2
for i in range(2, n):
#print(ret)
#print(i)
ret *= (i + 1)
return ret
#class Prime
#@class Double
#double factorial N!!, series [A006882](https://oeis.org/A006882)
#
#class Double:
# @classmethod
# def elementIt(cls, n, unbound = False):
#inRange(n, 16)
#return Factorial.element(Factorial.element(n))
# @classmethod
# def elementIt(cls, n, unbound = False):
#inRange(n, 16)
#return Factorial.elementIt(factorial.elementIt(n))
#def _set(n):
# """arg n: number of elemenets in the sequence
# lists can have repeated values however,
# sets only contain unique sequences of values
# therefor it is convenient to construct sets aswell
# for additional functionality"""
# return set(_list(n)) #[f for f in genFib(n)])
##
#def _frozenSet(n):
# return frozenset(_list(n))
def element(cls, n, unbound=False):
inRange(n, 46, unbound)
return cls._h.element(n)
def element(cls, n, unbound=False):
#assert type(n) is IntType
inRange(n, 33, unbound)
return cls._h.element(n)
def elementIt(cls, n, unbound=False):
inRange(n, 24, unbound)
f = Fibonacci.elementIt(n)
return f * f