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BUILT-IN MATHEMATICA SYMBOL
LinearRecurrence
LinearRecurrence[ker, init, n]
gives the sequence of length n obtained by iterating the linear recurrence with kernel ker starting with initial values init.
LinearRecurrence[ker, init, {nmin, nmax}]
yields terms 
through 
in the linear recurrence sequence.
Details
- The ker and init can involve arbitrary symbolic expressions, as well as arrays.
- The initial list init must be at least as long as the kernel list ker.
- If init is longer than ker, only the last Length[ker] elements are used.
- LinearRecurrence[{a1, ..., ad}, {y1, ..., yd}, n] iterates the recurrence equation
with initial conditions 
, ..., 
. - When coefficients
and initial values 
are arrays, then the iterated recurrence is interpreted as 
with dot products of coefficient and values. - If the initial values
have dimensions 
then the coefficients 
must either be scalar or must have dimensions 
.
New in 7
