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A265729 Decimal expansion of 32*Pi. 0
1, 0, 0, 5, 3, 0, 9, 6, 4, 9, 1, 4, 8, 7, 3, 3, 8, 3, 6, 3, 0, 8, 0, 4, 5, 8, 8, 2, 6, 4, 9, 4, 4, 0, 9, 2, 2, 9, 4, 3, 0, 9, 4, 2, 0, 7, 8, 0, 0, 0, 3, 3, 8, 6, 2, 7, 1, 1, 9, 8, 2, 2, 6, 9, 5, 3, 8, 5, 0, 1, 2, 5, 0, 0, 1, 1, 5, 8, 6, 8, 7, 9, 5, 6, 0, 9, 7, 1, 1, 4, 4, 1, 0, 9, 4, 7, 7, 4, 6, 1, 7, 5, 4, 2, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

3,4

COMMENTS

"The integral corresponds to integration over a spherical cone with opening angle pi/2 and radius 4. However, it is not clear what the integrand physically represents (it resembles computation of a moment of inertia, but that would give a factor (rho sin(phi))^2 rather than the given rho cos(phi)."

REFERENCES

The June 2, 1996 comic strip FoxTrot by Bill Amend (Amend 1998, p. 19; Mitchell 2006/2007)

LINKS

Table of n, a(n) for n=3..107.

Eric W. Weisstein, Wolfram MathWorld, Definite Integral

FORMULA

The triple Integral {0-2Pi}, {0-Pi/4}, {0-4} (rho*cos(phi)) rho^2 sin(phi) d(rho) d(phi) d(theta).

EXAMPLE

=100.53096491487338363080458826494409229430942078000338627119822695385012500…

MATHEMATICA

RealDigits[32 Pi, 10, 111][[1]] (* or *)

Integrate[\[Rho] Cos[\[Phi]] \[Rho]^2 Sin[\[Phi]], {\[Rho], 0, 4}, {\[Phi], 0, Pi/4}, {\[Theta], 0, 2 Pi}]

PROG

(PARI) 32*Pi \\ Altug Alkan, Dec 14 2015

CROSSREFS

Cf. A000796, A019692, A122952, A019694, A019669, A228719, A228721, A228824, A229939, A061146.

Sequence in context: A249522 A243381 A282887 * A181886 A126853 A286127

Adjacent sequences:  A265726 A265727 A265728 * A265730 A265731 A265732

KEYWORD

cons,nonn

AUTHOR

Eric W. Weisstein and Robert G. Wilson v, Dec 14 2015

STATUS

approved

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Last modified January 17 12:45 EST 2020. Contains 330958 sequences. (Running on oeis4.)