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Search: id:A117475
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| A117475 |
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The values of c in a^2 + b^2 = c^2 where b - a = 23 and gcd(a,b,c) = 1. |
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2
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| 37, 65, 205, 373, 1193, 2173, 6953, 12665, 40525, 73817, 236197, 430237, 1376657, 2507605, 8023745, 14615393, 46765813, 85184753, 272571133, 496493125, 1588660985, 2893773997, 9259394777, 16866150857, 53967707677, 98303131145
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OFFSET
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1,1
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COMMENT
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b - a = 23 is the fourth term in A058529 The values of a are in A117476
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FORMULA
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c(1)=37, c(2)=65, c(3)=205, c(4)=373, c(n) = 6*c(n-2) - c(n-4)
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EXAMPLE
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c(5) = 6*205 - 37 = 1193, and 832^2 + 855^2 = 1193^2 and 855-832=23 and gcd(832,855,1193)=1
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CROSSREFS
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Cf. A058529, A117476.
Sequence in context: A139960 A103946 A107142 this_sequence A145486 A121764 A131499
Adjacent sequences: A117472 A117473 A117474 this_sequence A117476 A117477 A117478
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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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