The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A201281 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A201281

Decimal expansion of x satisfying x^2 + 2 = cot(x) and 0 < x < Pi.
(history; published version)

#8 by Alois P. Heinz at Sat Apr 10 21:42:44 EDT 2021

STATUS

proposed

approved

#7 by Jon E. Schoenfield at Sat Apr 10 21:35:19 EDT 2021

STATUS

editing

proposed

#6 by Jon E. Schoenfield at Sat Apr 10 21:35:17 EDT 2021

NAME

Decimal expansion of x satisfying x^2 + 2 = cot(x) and 0 < x <pi Pi.

COMMENTS

See A201280 for a guide to related sequences. The Mathematica program includes a graph.

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 18:58:01 EDT 2012

AUTHOR

_Clark Kimberling (ck6(AT)evansville.edu), _, Nov 29 2011

Discussion

Fri Mar 30

18:58

OEIS Server: https://oeis.org/edit/global/285

#4 by T. D. Noe at Wed Nov 30 11:17:36 EST 2011

STATUS

proposed

approved

#3 by Clark Kimberling at Tue Nov 29 17:53:14 EST 2011

STATUS

editing

proposed

#2 by Clark Kimberling at Tue Nov 29 15:43:01 EST 2011

NAME

allocated for Clark KimberlingDecimal expansion of x satisfying x^2+2=cot(x) and 0<x<pi.

DATA

4, 2, 9, 3, 2, 7, 9, 4, 1, 7, 9, 4, 5, 8, 6, 4, 3, 6, 7, 9, 2, 8, 3, 2, 6, 2, 2, 9, 1, 3, 0, 2, 8, 5, 3, 1, 4, 3, 2, 5, 1, 6, 6, 6, 0, 2, 1, 0, 8, 2, 5, 6, 4, 6, 5, 8, 6, 7, 1, 6, 5, 5, 2, 6, 5, 5, 8, 6, 7, 2, 9, 9, 7, 1, 5, 1, 2, 3, 2, 6, 8, 8, 8, 8, 2, 5, 3, 6, 5, 6, 0, 9, 9, 0, 8, 3, 5, 2, 1

OFFSET

0,1

COMMENTS

See A201280 for a guide to related sequences. The Mathematica program includes a graph.

EXAMPLE

x=0.42932794179458643679283262291302853143...

MATHEMATICA

a = 1; c = 2;

f[x_] := a*x^2 + c; g[x_] := Cot[x]

Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .42, .43}, WorkingPrecision -> 110]

RealDigits[r] (* A201281 *)

CROSSREFS

Cf. A201280.

KEYWORD

allocated

nonn,cons

AUTHOR

Clark Kimberling (ck6(AT)evansville.edu), Nov 29 2011

STATUS

approved

editing

#1 by Clark Kimberling at Tue Nov 29 12:48:31 EST 2011

NAME

allocated for Clark Kimberling

KEYWORD

allocated

STATUS

approved