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A261791 The integer part of the surface area of the 4-dimensional sphere of radius n. 0
19, 157, 532, 1263, 2467, 4263, 6770, 10106, 14389, 19739, 26272, 34109, 43367, 54164, 66619, 80851, 96978, 115119, 135391, 157913, 182804, 210183, 240166, 272874, 308425, 346936, 388526, 433315, 481419, 532958 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
2*Pi^2*n^3 - surface area of the 4-dimensional sphere of radius n.
LINKS
Eric Weisstein's World of Mathematics, Hypersphere
Eric Weisstein's World of Mathematics, Floor Function
Wikipedia, N-sphere
FORMULA
a(n) = floor(2*Pi^2*n^3).
a(n) = floor(2*Pi^2*A000578(n)).
MATHEMATICA
Table[Floor[2 Pi^2 n^3], {n, 1, 30}]
PROG
(PARI) a(n) = floor(2*Pi^2*n^3) \\ Charles R Greathouse IV, Sep 18 2015
CROSSREFS
Sequence in context: A302352 A301398 A141923 * A302124 A217215 A159682
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 01 2015
STATUS
approved

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Last modified June 17 23:09 EDT 2024. Contains 373468 sequences. (Running on oeis4.)