OFFSET
0,3
LINKS
C. A. Church and M. Bicknell, Exponential generating functions for Fibonacci identities, Fibonacci Quarterly, 11(3) (1973), 275-281.
J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon transform, J. Combin. Theory, 17A (1996), 44-54 (Abstract, pdf, ps).
N. J. A. Sloane, Transforms.
FORMULA
E.g.f.: (sec(x) + tan(x))*((exp(a*x) - exp(b*x))/(a-b) - x^2/2), where a = (1 + sqrt(5))/2 and b = (1 - sqrt(5))/2. - Petros Hadjicostas, Feb 16 2021
MAPLE
read transforms; with(combinat, fibonacci): a := [0, 1, 0, seq(fibonacci(i), i=3..30)]: BOUS2(a);
CROSSREFS
KEYWORD
nonn
AUTHOR
Orleo Marinaro (KDNM21(AT)bipop.it), Jun 01 2001
EXTENSIONS
Mar 31 2004: Thomas Sundquist noticed the original description was incorrect. Francisco Salinas was able to modify the description so as to produce the given sequence.
STATUS
approved