login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196252 Positive integers a for which there is a (3/4)-Pythagorean triple (a,b,c) satisfying a<=b. 7
2, 4, 5, 6, 7, 8, 9, 10, 10, 12, 12, 12, 13, 14, 14, 15, 15, 16, 17, 18, 18, 18, 20, 20, 20, 21, 21, 22, 23, 24, 24, 24, 25, 26, 26, 27, 27, 28, 28, 28, 28, 30, 30, 30, 31, 32, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 36, 36, 36, 38, 38, 39, 40, 40, 40, 42, 42, 42, 42 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A195770 for definitions of k-Pythagorean triple, primitive k-Pythagorean triple, and lists of related sequences.

LINKS

Table of n, a(n) for n=1..69.

MATHEMATICA

z8 = 900; z9 = 250; z7 = 200;

k = 3/4; c[a_, b_] := Sqrt[a^2 + b^2 + k*a*b];

d[a_, b_] := If[IntegerQ[c[a, b]], {a, b, c[a, b]}, 0]

t[a_] := Table[d[a, b], {b, a, z8}]

u[n_] := Delete[t[n], Position[t[n], 0]]

Table[u[n], {n, 1, 15}]

t = Table[u[n], {n, 1, z8}];

Flatten[Position[t, {}]]

u = Flatten[Delete[t, Position[t, {}]]];

x[n_] := u[[3 n - 2]];

Table[x[n], {n, 1, z7}]  (* A196252 *)

y[n_] := u[[3 n - 1]];

Table[y[n], {n, 1, z7}]  (* A196253 *)

z[n_] := u[[3 n]];

Table[z[n], {n, 1, z7}]  (* A196254 *)

x1[n_] := If[GCD[x[n], y[n], z[n]] == 1, x[n], 0]

y1[n_] := If[GCD[x[n], y[n], z[n]] == 1, y[n], 0]

z1[n_] := If[GCD[x[n], y[n], z[n]] == 1, z[n], 0]

f = Table[x1[n], {n, 1, z9}];

x2 = Delete[f, Position[f, 0]]  (* A196255 *)

g = Table[y1[n], {n, 1, z9}];

y2 = Delete[g, Position[g, 0]]  (* A196256 *)

h = Table[z1[n], {n, 1, z9}];

z2 = Delete[h, Position[h, 0]]  (* A196257 *)

CROSSREFS

Cf. A195770, A196253, A196254, A196255.

Sequence in context: A238461 A195994 A182815 * A004722 A094798 A162880

Adjacent sequences:  A196249 A196250 A196251 * A196253 A196254 A196255

KEYWORD

nonn

AUTHOR

Clark Kimberling, Sep 30 2011

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 8 15:08 EST 2016. Contains 278945 sequences.