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A121546 a(n) = dimension of the space in which the sphere of integer radio n is of maximum volume. +0
1
5, 24, 56, 100, 156, 225, 307, 401, 508, 627, 759, 904, 1061, 1231, 1413, 1607, 1815, 2035, 2267, 2512, 2770, 3040, 3323, 3618, 3926, 4246, 4579, 4925, 5283, 5654, 6037, 6433, 6841, 7262, 7696, 8142, 8601, 9072, 9556, 10052, 10561, 11083, 11617, 12163 (list; graph; listen)
OFFSET

1,1

COMMENT

a(n) indicates the dimension of the space in which the sphere of integer radius n is of maximal volume. - Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Oct 16 2007

FORMULA

a(n)=6.2835r^2 - 0.009903r - 0.9212 is a lower bound on the real value of the dimension.

MATHEMATICA

Floor[6.2835r^2 - 0.009903r - 0.9212 + 0.5]

CROSSREFS

Sequence in context: A063143 A006145 A085646 this_sequence A135703 A101147 A006328

Adjacent sequences: A121543 A121544 A121545 this_sequence A121547 A121548 A121549

KEYWORD

nonn

AUTHOR

Sergio Falcon (sfalcon(AT)dma.ulpgc.es), Oct 10 2007

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.


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