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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 Table of n, a(n) for n=1..30. 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 Cf. A038130, A000578, A164102 (2*Pi^2), A210519, A066644. Sequence in context: A302352 A301398 A141923 * A302124 A217215 A159682 Adjacent sequences: A261788 A261789 A261790 * A261792 A261793 A261794 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.)