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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223728 Multiplicities for A223727: primitive sums of four distinct nonzero squares. 2
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 3, 2, 1, 1, 1, 3, 2, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1, 5, 1, 2, 3, 1, 1, 2, 3, 1, 2, 1, 1, 2, 4, 2, 1, 2, 3, 1, 5, 2, 2, 2, 2, 2, 4, 3, 1, 4, 1, 1, 4, 2, 2, 2, 5, 3, 1, 6, 3, 3, 1, 2, 1, 1, 4, 4, 2, 5, 1, 3, 7, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,16

COMMENTS

A223728(n) has a(n) different primitive representations as sum of four distinct nonzero squares, n>=1.

LINKS

Table of n, a(n) for n=1..100.

FORMULA

a(n) = k if there are k different solutions for A223728(n) = sum(s(j)^2, j=1..4), with 0 < s(1) < s(2) < s(3) < s(4) and gcd(s(1),s(2),s(3),s(4)) = 1.

EXAMPLE

a(16) = 3 because A223727(16) = 78 has three s-quadruples, namely [1, 2, 3, 8], [1, 4, 5, 6] and [2, 3, 4, 7].

a(23) = 2 from A223727(23) =  90 with s-quadruples [1, 2, 6, 7] and [1, 3, 4, 8].

CROSSREFS

Cf. A223727, A223726.

Sequence in context: A031243 A030394 A223726 * A030596 A031277 A001165

Adjacent sequences:  A223725 A223726 A223727 * A223729 A223730 A223731

KEYWORD

nonn

AUTHOR

Wolfdieter Lang, Mar 27 2013

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 23 11:44 EDT 2019. Contains 325254 sequences. (Running on oeis4.)