
05641974
j
2009f.00421
Hilton, P.
Pedersen, J.
On generalized Fibonaccian and Lucasian numbers.
Math. Gaz. 90, No. 518, 215222 (2006).
2006
Cambridge University Press, Cambridge; Mathematical Association (MA), Leicester
EN
F60
Fibonacci sequence
Lucas sequence
Binet formula
number theoretic sequences
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.
Ramesh Kapadia (London)