The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A062122 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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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).
(history; published version)

#16 by Alois P. Heinz at Wed Feb 17 16:20:34 EST 2021

STATUS

proposed

approved

#15 by Petros Hadjicostas at Wed Feb 17 15:22:09 EST 2021

STATUS

editing

proposed

#14 by Petros Hadjicostas at Wed Feb 17 15:21:52 EST 2021

NAME

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).

LINKS

J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon on transform, J. Combin. Theory, 17A (1996), 44-54 (<a href="http://neilsloane.com/doc/bous.txt">Abstract</a>, <a href="http://neilsloane.com/doc/bous.pdf">pdf</a>, <a href="http://neilsloane.com/doc/bous.ps">ps</a>).

STATUS

approved

editing

#13 by Michel Marcus at Tue Feb 16 02:12:40 EST 2021

STATUS

reviewed

approved

#12 by Joerg Arndt at Tue Feb 16 01:52:04 EST 2021

STATUS

proposed

reviewed

#11 by Petros Hadjicostas at Tue Feb 16 01:34:51 EST 2021

STATUS

editing

proposed

#10 by Petros Hadjicostas at Tue Feb 16 01:24:42 EST 2021

LINKS

C. A. Church and M. Bicknell, <a href="https://www.mathstat.dal.ca/FQ/Scanned/11-3/church.pdf">Exponential generating functions for Fibonacci identities</a>, Fibonacci Quarterly, 11(3) (1973), 275-281.

J. Millar, N. J. A. Sloane and N. E. Young, A new operation on sequences: the Boustrophedon on transform, J. Combin. Theory, 17A (1996), 44-54 1996 (<a href="http://neilsloane.com/doc/bous.txt">Abstract</a>, <a href="http://neilsloane.com/doc/bous.pdf">pdf</a>, <a href="http://neilsloane.com/doc/bous.ps">ps</a>).

N. J. A. Sloane, <a href="/transforms.txt">Transforms</a>.

#9 by Petros Hadjicostas at Tue Feb 16 01:20:15 EST 2021

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

#8 by Petros Hadjicostas at Tue Feb 16 01:19:46 EST 2021

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

#7 by Petros Hadjicostas at Tue Feb 16 01:19:05 EST 2021

FORMULA

E.g.f.: (sec(x) + tan(x))*((exp(a*x) - exp(b(x))/(a-b) - x^2/2). - Petros Hadjicostas, Feb 16 2021

STATUS

approved

editing