The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A041006

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A041006

Numerators of continued fraction convergents to sqrt(6).
(history; published version)

#56 by Alois P. Heinz at Mon Oct 14 15:58:28 EDT 2024

STATUS

proposed

approved

#55 by Stefano Spezia at Mon Oct 14 15:26:54 EDT 2024

STATUS

editing

proposed

#54 by Stefano Spezia at Mon Oct 14 12:38:26 EDT 2024

FORMULA

E.g.f.: sqrt(2)*sinh(sqrt(2)*x)*(cosh(sqrt(3)*x) + sqrt(3)*sinh(sqrt(3)*x)) + cosh(sqrt(2)*x)*(2*cosh(sqrt(3)*x) + sqrt(3)*sinh(sqrt(3)*x)). - Stefano Spezia, Oct 14 2024

STATUS

approved

editing

#53 by Michael De Vlieger at Sun Oct 13 15:24:00 EDT 2024

STATUS

reviewed

approved

#52 by Stefano Spezia at Sun Oct 13 13:44:14 EDT 2024

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proposed

reviewed

#51 by Robert FERREOL at Sun Oct 13 13:01:24 EDT 2024

STATUS

editing

proposed

#50 by Robert FERREOL at Sun Oct 13 13:01:13 EDT 2024

FORMULA

a(n) = ((2 + sqrt(6))^(n+1) + (2 - sqrt(6))^(n+1))/2^(ceiling(n/2) + 1). - Robert FERREOL, Oct 13 2024

STATUS

proposed

editing

#49 by Michel Marcus at Sun Oct 13 12:50:53 EDT 2024

STATUS

editing

proposed

#48 by Michel Marcus at Sun Oct 13 12:50:30 EDT 2024

FORMULA

a(n) = (2 + sqrt(6))^(n+1) + (2 - sqrt(6))^(n+1))/2^(ceilceiling(n/2) + 1). - Robert FERREOL, Oct 13 2024

STATUS

proposed

editing

#47 by Robert FERREOL at Sun Oct 13 12:12:10 EDT 2024

STATUS

editing

proposed