when I try to enter, Washington, in box 15 of 1099 -R report there is no Washington listed in turbo tax???

Washington state does not have a personal income tax.  Leave boxes 15,16 and 17 blank (empty) on the W-2 you are entering.

Nine states — Alaska, Florida, Nevada, New Hampshire, South Dakota, Tennessee, Texas, Washington and Wyoming — have no state income taxes.

As your state Washington has no state income tax, it is not in the drop down menu of Box 15 of form 1099-R. Just leave boxes 15 and 16 blank even if WA is listed in box 15 and box 16 is filled with an amount on your form 1099-R.