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A206224 Floor(n^2/4) appears 1+floor(n/2) times. 0
0, 0, 1, 1, 2, 2, 4, 4, 4, 6, 6, 6, 9, 9, 9, 9, 12, 12, 12, 12, 16, 16, 16, 16, 16, 20, 20, 20, 20, 20, 25, 25, 25, 25, 25, 25, 30, 30, 30, 30, 30, 30, 36, 36, 36, 36, 36, 36, 36, 42, 42, 42, 42, 42, 42, 42, 49, 49, 49, 49, 49, 49, 49, 49, 56, 56, 56, 56, 56 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..68.

FORMULA

a(n) = floor((1/4)*(floor(sqrt(4*n+1))-1)^2)

     = A002620(A055086(n))

     = A002620(A000267(n)-1)

MAPLE

seq(floor((1/4)*(floor(sqrt(4*k+1))-1)^2), k=0..50)

MATHEMATICA

Flatten[Table[Table[Floor[n^2/4], {1 + Floor[n/2]}], {n, 0, 20}]] (* T. D. Noe, Feb 07 2012 *)

CROSSREFS

Cf. A002620, A055086, A000267.

Sequence in context: A157887 A085237 A110870 * A035114 A202103 A062570

Adjacent sequences:  A206221 A206222 A206223 * A206225 A206226 A206227

KEYWORD

nonn

AUTHOR

Mircea Merca, Feb 05 2012

STATUS

approved

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Last modified May 20 00:59 EDT 2013. Contains 225445 sequences.