id: 05641974
dt: j
an: 2009f.00421
au: Hilton, P.; Pedersen, J.
ti: On generalized Fibonaccian and Lucasian numbers.
so: Math. Gaz. 90, No. 518, 215-222 (2006).
py: 2006
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: F60
ut: Fibonacci sequence; Lucas sequence; Binet formula; number theoretic
sequences
ci:
li:
ab: This article presents generalizations relating to Fibonacci and Lucas
numbers. For the latter, if an odd number is Lucasian then so are all
its positive powers, but this is not true for even numbers. The
approach is to replacing the standard second order general linear
recurrence relation by a more general one, using the Binet formula.
rv: Ramesh Kapadia (London)