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Search: id:A116509
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| A116509 |
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Values of c in a^2 + b^2 = c^2 where b - a = 31 and gcd(a,b)=1. |
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+0
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| 41, 109, 221, 629, 1285, 3665, 7489, 21361, 43649, 124501, 254405, 725645, 1482781, 4229369, 8642281, 24650569, 50370905, 143674045, 293583149, 837393701, 1711127989, 4880688161, 9973184785, 28446735265, 58127980721
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OFFSET
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1,1
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COMMENT
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b - a = 31 is the fifth term of A058529
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FORMULA
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c(1)=41, c(2)=109, c(3)=221, c(4)=629, c(n) = 6*c(n-2) - c(n-4)
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EXAMPLE
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c(5)= 6*221-41=1285, and 893^2 + 924^2 = 1285^2 and 924-893=31 and gcd(893,924)=1
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CROSSREFS
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Adjacent sequences: A116506 A116507 A116508 this_sequence A116510 A116511 A116512
Sequence in context: A142054 A070270 A001125 this_sequence A105389 A044292 A044673
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KEYWORD
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nonn
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AUTHOR
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Andras Erszegi (erszegi.andras(AT)chello.hu), Mar 21 2006
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