id:A124100 - OEIS Search Results

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Sum(x^i*y^j*z^k) with i + j + k = m and (x, y, z) = the primitive pythagorean triple (8, 15, 17).

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1, 40, 1089, 25160, 531521, 10625640, 204744769, 3844391560, 70827391041, 1286290883240, 23101397290049, 411249127989960, 7269184506192961, 127745926316548840, 2234231991096868929, 38920247688751940360 (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) = 1089 because x^2+y^2+z^2+xy+xz+yz = 8^2+15^2+17^2+815+817+1517=1089 and x^2+y^2=z^2`
	MAPLE	`seq(sum(8^(m-n)sum(15^p17^(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.` `Sequence in context: A165380 A075907 A062143 this_sequence A071952 A144914 A004385` `Adjacent sequences: A124097 A124098 A124099 this_sequence A124101 A124102 A124103`
	KEYWORD	`nonn`
	AUTHOR	`Giorgio Balzarotti and Paolo P. Lava (greenblue(AT)tiscali.it), Nov 26 2006`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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