A074704 a(n) = floor(n^(3/2)) - n*floor(n^(1/2)).

0, 0, 2, 0, 1, 2, 4, 6, 0, 1, 3, 5, 7, 10, 13, 0, 2, 4, 6, 9, 12, 15, 18, 21, 0, 2, 5, 8, 11, 14, 17, 21, 24, 28, 32, 0, 3, 6, 9, 12, 16, 20, 23, 27, 31, 35, 40, 44, 0, 3, 7, 10, 14, 18, 22, 27, 31, 35, 40, 44, 49, 54, 59, 0, 4, 8, 12, 16, 21, 25, 30, 34, 39, 44, 49, 54, 59, 64, 70

Offset

1,3

Comments

a(n) is the coefficient of 1/n in the base n representation of sqrt(n); namely, the digit after the 'decimal' point. - Jason Kimberley, Feb 2012

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

Jason Kimberley, Index of expansions of sqrt(d) in base b

Formula

a(n) = A000093(n) - n * A000196(n).

Crossrefs

Cf. A000196 [the digit before the 'decimal' point in the base n representation of sqrt(n)], A000093.

Sequence in context: A059347 A071496 A071502 * A025247 A341439 A127767

Adjacent sequences: A074701 A074702 A074703 * A074705 A074706 A074707

Keyword

nonn,look

Author

Reinhard Zumkeller, Sep 03 2002

Status

approved