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A074456 Consider surface area of unit sphere as a function of the dimension d; maximize this as a function of d (considered as a continuous variable); sequence gives decimal expansion of the resulting surface area. 3
3, 3, 1, 6, 1, 1, 9, 4, 4, 8, 4, 9, 6, 2, 0, 0, 2, 6, 9, 1, 8, 6, 3, 0, 2, 4, 0, 1, 5, 5, 8, 2, 9, 7, 3, 5, 8, 0, 0, 4, 7, 2, 3, 2, 8, 4, 1, 0, 8, 7, 2, 5, 8, 5, 1, 3, 1, 0, 0, 1, 1, 8, 1, 5, 5, 4, 0, 3, 7, 5, 6, 5, 4, 6, 4, 7, 1, 8, 4, 3, 4, 4, 6, 6, 6, 0, 7, 4, 6, 0, 9, 4, 9, 3, 5, 1, 3, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

If you set v[n_] := Pi^(n/2)/(n/2)! and s[n_] := n*Pi^(n/2)/(n/2)! and then Plot[{6.283v[n - 2], s[n]}, {n, 0, 20}], the two curves are almost identical.

LINKS

Table of n, a(n) for n=2..100.

EXAMPLE

33.16119448496200269186302401558297358004723284108725851310011815540375\

65464718434466607460949351387694776...

CROSSREFS

The dimension is given in A074455. Cf. A072478 & A072479.

Sequence in context: A144944 A137426 A269949 * A016454 A065227 A208539

Adjacent sequences:  A074453 A074454 A074455 * A074457 A074458 A074459

KEYWORD

cons,nonn

AUTHOR

Robert G. Wilson v, Aug 22 2002

EXTENSIONS

Checked by Martin Fuller, Jul 12 2007

STATUS

approved

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Last modified January 22 12:13 EST 2019. Contains 319363 sequences. (Running on oeis4.)