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Search: id:A117472
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| A117472 |
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Values of c in a^2 + b^2 = c^2, where b - a = 17, and gcd(a,b,c)=1. |
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+0
2
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| 25, 53, 137, 305, 797, 1777, 4645, 10357, 27073, 60365, 157793, 351833, 919685, 2050633, 5360317, 11951965, 31242217, 69661157, 182092985, 406014977, 1061315693, 2366428705, 6185801173, 13792557253, 36053491345
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OFFSET
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1,1
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COMMENT
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b - a = 17 is the third term in A058529 The values of 'a' are defined by A117473
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FORMULA
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c(1)=25, c(2)=53, c(3)=137, c(4)=305, c(n) = 6*c(n-2) - c(n-4), if c > 4
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EXAMPLE
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c(5) = 6*137 - 25 = 797
555*555 + 572*572 = 797*797, where 572-555 = 17, and gcd(555,572,797)=1
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CROSSREFS
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Cf. A117473, A058529.
Adjacent sequences: A117469 A117470 A117471 this_sequence A117473 A117474 A117475
Sequence in context: A043235 A044015 A118304 this_sequence A123825 A108166 A080863
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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 19 2006
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