formula for interpolation by divided difference

argillaceous marl atmosphere interface devastator Elatostema xanthophyllum extra-terrestrial mid-levels nonprofessionally ommastrephes Operculum temporale overlubricating polyoxypropylene-polyoxyethylene glycerin ether polyphenol layer requered rotary screen digger search engine spider the Great Vowel Shift tooth-glasses total metal content two-character Ulmus procera