September 2017 Update

Task/Fibonacci-n-step-number-sequences/PowerShell/fibonacci-n-step-number-sequences-1.psh

@@ -0,0 +1,17 @@
+#Create generator of extended fibonaci
+Function Get-ExtendedFibonaciGenerator($InitialValues ){
+    $Values = $InitialValues
+    {
+        #exhaust initial values first before calculating next values by summation
+        if ($InitialValues.Length -gt 0) {
+            $NextValue = $InitialValues[0]
+            $Script:InitialValues = $InitialValues | Select -Skip 1
+            return $NextValue
+        }
+
+        $NextValue = $Values | Measure-Object -Sum | Select -ExpandProperty Sum
+        $Script:Values = @($Values | Select-Object -Skip 1) + @($NextValue)
+
+        $NextValue
+    }.GetNewClosure()
+}

Task/Fibonacci-n-step-number-sequences/PowerShell/fibonacci-n-step-number-sequences-2.psh

@@ -0,0 +1,10 @@
+$Name = 'fibo tribo tetra penta hexa hepta octo nona deca'.Split()
+0..($Name.Length-1) | foreach { $Index = $_
+    $InitialValues = @(1) + @(foreach ($I In 0..$Index) { [Math]::Pow(2,$I) })
+    $Generator = Get-ExtendedFibonaciGenerator $InitialValues
+    [PSCustomObject] @{
+        n        = $InitialValues.Length;
+        Name     = "$($Name[$Index])naci";
+        Sequence = 1..15 | foreach { & $Generator } | Join-String -Separator ','
+    }
+} | Format-Table -AutoSize