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Revision History for A080039

(Bold, blue-underlined text is an addition; faded, red-underlined text is a deletion.)

Showing entries 1-10 | older changes
a(n) = floor((1+sqrt(2))^n).
(history; published version)
#26 by Alois P. Heinz at Fri Aug 23 22:53:37 EDT 2024
STATUS

proposed

approved

#25 by Robert C. Lyons at Fri Aug 23 14:56:08 EDT 2024
STATUS

editing

proposed

#24 by Robert C. Lyons at Fri Aug 23 14:56:05 EDT 2024
PROG

(PARI) t='t+O('t^50); Vec((1-t^2+2t2*t^3)/(1-2t2*t-2t2*t^2+2t2*t^3+t^4)) \\ G. C. Greubel, Jul 05 2017

STATUS

approved

editing

#23 by Joerg Arndt at Fri Aug 23 02:08:45 EDT 2024
STATUS

editing

approved

#22 by Joerg Arndt at Fri Aug 23 02:08:42 EDT 2024
FORMULA

G.f.: g(t) = (1-t^2+2*t^3)/(1-2*t-2*t^2+2*t^3+t^4).

STATUS

approved

editing

#21 by Joerg Arndt at Fri Aug 23 02:08:22 EDT 2024
STATUS

reviewed

approved

#20 by Stefano Spezia at Fri Aug 23 02:05:15 EDT 2024
STATUS

proposed

reviewed

#19 by Jason Yuen at Thu Aug 22 22:11:30 EDT 2024
STATUS

editing

proposed

#18 by Jason Yuen at Thu Aug 22 22:11:28 EDT 2024
FORMULA

fract((1+sqrt(2))^n)) = (1/2)*(1+(-1)^n)-(-1)^n*(1+sqrt(2))^(-n) = (1/2)*(1+(-1)^n)-(1-sqrt(2))^n.

STATUS

approved

editing

#17 by Michael De Vlieger at Wed Nov 16 14:53:10 EST 2022
STATUS

proposed

approved