Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A124099
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A124099 Sum(x^i*y^j*z^k) with i + j + k = m and (x, y, z) = the primitive pythagorean triple (5, 12, 13). +0
1
1, 30, 619, 10920, 177061, 2726130, 40547359, 588485820, 8387148121, 117876868230, 1638536364499, 22574666496720, 308755233696781, 4197234089634330, 56765041887676039, 764357559726523620 (list; graph; listen)
OFFSET

0,2

FORMULA

a(m) = (x^(m+2)*(z-y)+y^(m+2)*(x-z)+z^(m+2)*(y-x))/((x-y)*(y-z)*(z-x))

EXAMPLE

a(2)=619 because sum(x^i*y^j*z^k)=x^2+y^2+z^2+x*y+x*z+y*z = 5^2+12^2+13^2+5*12+5*13+12*13 =619 and x^2+y^2=z^2

MAPLE

seq(sum(5^(m-n)*sum(12^p*13^(n-p), p=0..n), n=0..m), m=0..N);

CROSSREFS

Cf. A025942 A020000 A021664 A019682 A021684 A021844 A020340 A020341 A020342 A020344 A020345 A020346 A077515.

Adjacent sequences: A124096 A124097 A124098 this_sequence A124100 A124101 A124102

Sequence in context: A020980 A051303 A020975 this_sequence A028258 A075911 A001719

KEYWORD

nonn

AUTHOR

Giorgio Balzarotti and Paolo P. Lava (greenblue(AT)tiscali.it), Nov 26 2006

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


AT&T Labs Research