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A062122 Boustrophedon transform of 0, 1, 0, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,... the Fibonacci numbers (F_0 = 0, F_1 = 1, A000045) with an erroneous term (F_2 = 0 instead of 1). 2
0, 1, 2, 5, 19, 65, 259, 1161, 5927, 33946, 216090, 1513051, 11558614, 95658445, 852571616, 8141450460, 82928132445, 897492637757, 10284508144797, 124399102620413, 1583898570128385, 21175164077080102, 296571619014584968, 4342477201229994035, 66348164337987642924 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..24.

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.

Index entries for sequences related to boustrophedon transform

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

Sequence in context: A148434 A341762 A341878 * A148435 A047022 A148436

Adjacent sequences:  A062119 A062120 A062121 * A062123 A062124 A062125

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

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Last modified April 17 12:24 EDT 2021. Contains 343063 sequences. (Running on oeis4.)