We answer the question posed by Ian Stewart which Padovan numbers are at the same time Fibonacci numbers. We give a result on the difference between Padovan and Fibonacci numbers, and on the growth of Padovan numbers with negative indices.
@article{urn:eudml:doc:41299, title = {Padua and Pisa are exponentially far apart.}, journal = {Publicacions Matem\`atiques}, volume = {41}, year = {1997}, pages = {631-651}, mrnumber = {MR1485508}, zbl = {0899.11004}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41299} }
De Weger, Benjamin M. M. Padua and Pisa are exponentially far apart.. Publicacions Matemàtiques, Tome 41 (1997) pp. 631-651. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41299/