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A194662 Number of k in [1,n] for which <n*r>+<k*r> > 1, where < > = fractional part and r = (1+sqrt(5))/2 (the golden ratio); row sums of A164661. 2
1, 0, 3, 2, 0, 4, 2, 8, 6, 2, 9, 5, 0, 9, 3, 14, 9, 2, 14, 7, 21, 14, 5, 21, 12, 2, 19, 8, 27, 17, 5, 25, 13, 0, 22, 8, 32, 18, 3, 28, 13, 40, 25, 8, 37, 20, 2, 32, 13, 45, 27, 7, 40, 20, 55, 35, 13, 50, 28, 5, 43, 20, 60, 37, 12, 53, 28, 2, 45, 18, 63, 36, 8, 54, 26, 74, 46 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..77.

MATHEMATICA

r = GoldenRatio; z = 14;

p[x_] := FractionalPart[x]; f[x_] := Floor[x];

h[n_, k_] := f[p[n*r] + p[k*r]]

Flatten[Table[h[n, k], {n, 1, z}, {k, 1, n}]]  (* A194661 *)

TableForm[Table[h[n, k], {n, 1, z}, {k, 1, n}]]

t[n_] := Sum[h[n, k], {k, 1, n}]

Table[t[n], {n, 1, 100}]   (* A194662 *)

CROSSREFS

Cf. A194661.

Sequence in context: A290794 A328178 A127571 * A143612 A011231 A198223

Adjacent sequences:  A194659 A194660 A194661 * A194663 A194664 A194665

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 01 2011

STATUS

approved

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Last modified July 25 15:30 EDT 2021. Contains 346291 sequences. (Running on oeis4.)