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/