A325732 - OEIS

%I #12 May 22 2019 22:56:42

%S 0,1,-1,1,-1,1,-1,0,7,-35,119,-329,791,-1715,3430,-6419,11319,-18767,

%T 28763,-38759,38759,1,-149228,572057,-1615429,3979001,-9014851,

%U 19251001,-39309301,77558760,-149239771,282712561,-532577025,1008032953,-1934671809,3787949521

%N First term of n-th difference sequence of (floor(k*r)), r = sqrt(3/4), k >= 0.

%H Clark Kimberling, <a href="/A325732/b325732.txt">Table of n, a(n) for n = 1..200</a>

%t Table[First[Differences[Table[Floor[Sqrt[3/4]*n], {n, 0, 50}], n]], {n, 1, 50}]

%Y Cf. A325664. Inverse binomial Transform of A171970 and A172475.

%Y Cf. A010527 (sqrt(3/4)).

%K easy,sign

%O 1,9

%A _Clark Kimberling_, May 20 2019