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A076295 Consider all Pythagorean triples (Y-7,Y,Z); sequence gives Y values. +0
4
4, 7, 12, 15, 28, 55, 72, 147, 304, 403, 840, 1755, 2332, 4879, 10212, 13575, 28420, 59503, 79104, 165627, 346792, 461035, 965328, 2021235, 2687092, 5626327, 11780604, 15661503, 32792620 (list; graph; listen)
OFFSET

0,1

COMMENT

First two terms included for consistency with A076293.

FORMULA

a(n) =6a(n-3)-a(n-6)-14 =(A076293(n)+7)/2 =sqrt(A076294(n)^2-A076296(n)^2) =A076296(n)+7. a(3n+1)=7*A046090(n).

EXAMPLE

15 is in the sequence as the longer leg of the (8,15,17) triangle.

CROSSREFS

Cf. A046090, A076293, A076294, A076296.

Sequence in context: A134659 A075624 A008333 this_sequence A083030 A005005 A074148

Adjacent sequences: A076292 A076293 A076294 this_sequence A076296 A076297 A076298

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Oct 05 2002

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Last modified December 3 14:12 EST 2008. Contains 151279 sequences.


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