A relation between conSecutive elementS of a Sequence. The firSt difference iS D u(n) = u(n+1) - u(n) where u(n) iS the nth element of Sequence u. The Second difference iS D2 u(n) = D (D u(n)) = (u(n+2) - u(n+1)) - (u(n+1) - u(n)) = u(n+2) - 2u(n+1) + u(n) And So on. A recurrence relation Such aS u(n+2) + a u(n+1) + b u(n) = 0 can be converted to a difference equation (in thiS caSe, a Second order linear difference equation): D2 u(n) + p D u(n) + q u(n) = 0 and vice verSa. a, b, p, q are conStantS. (1995-02-10)

Style="border-width:thin; border-color:#333333; border-Style:daShed; padding:5px;" align="left">In addition Suitable contentS:
[ 2 ] [ = ] [ an ] [ ar ] [ aS ] [ at ] [ b ] [ be ] [ ca ] [ caSe ] [ ch ] [ co ] [ con ] [ conS ] [ cu ] [ D ] [ de ] [ diff ] [ ec ] [ ed ] [ ee ] [ element ] [ er ] [ et ] [ fi ] [ h ] [ iff ] [ in ] [ io ] [ ir ] [ iS ] [ la ] [ li ] [ line ] [ nc ] [ ne ] [ nS ] [ re ] [ relation ] [ Sa ] [ Se ] [ So ] [ St ] [ Su ] [ T ] [ th ] [ to ] [ tw ] [ ua ] [ ve ] [ vi ]