id:A124101 - 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 (7, 24, 25).

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1, 56, 2193, 74200, 2322401, 69294456, 2002105393, 56527314200, 1568580924801, 42944117148856, 1163113467888593, 31226091614554200, 832210422221287201, 22042655816999563256, 580763882378429351793, 15231836751090861794200 (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) = 2193 because x^2+y^2+z^2+xy+xz+yz = 7^2+24^2+25^2+724+725+2425 = 2193 and x^2+y^2=z^2`
	MAPLE	`seq(sum(7^(m-n)sum(24^p25^(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: A004387 A111597 A111781 this_sequence A003696 A042513 A003747` `Adjacent sequences: A124098 A124099 A124100 this_sequence A124102 A124103 A124104`
	KEYWORD	`nonn`
	AUTHOR	`Giorgio Balzarotti and Paolo P. Lava (greenblue(AT)tiscali.it), Nov 26 2006`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

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