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A058034 Number of numbers whose cube root rounds to n. +0
1
1, 3, 12, 27, 49, 75, 108, 147, 193, 243, 300, 363, 433, 507, 588, 675, 769, 867, 972, 1083, 1201, 1323, 1452, 1587, 1729, 1875, 2028, 2187, 2353, 2523, 2700, 2883, 3073, 3267, 3468, 3675, 3889, 4107, 4332, 4563, 4801, 5043, 5292, 5547, 5809, 6075, 6348 (list; graph; listen)
OFFSET

0,2

FORMULA

a(n) =3n^2+I(n mod 4 = 0) =A033428(n)+A011765(n) =A034131(n-1)-A034131(n-2)

EXAMPLE

a(2)=12 since the cube roots of 4, 5, 6, ..., 15 all lie between 1.5 and 2.5.

CROSSREFS

Cf. A003215 for number whose floor (or ceiling) of the cube root is n, A004277 for number whose square root rounds to n.

Sequence in context: A074630 A033428 A018230 this_sequence A009259 A133647 A009222

Adjacent sequences: A058031 A058032 A058033 this_sequence A058035 A058036 A058037

KEYWORD

easy,nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Nov 22 2000

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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