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A117475 The values of c in a^2 + b^2 = c^2 where b - a = 23 and gcd(a,b,c) = 1. +0
2
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 (list; graph; listen)
OFFSET

1,1

COMMENT

b - a = 23 is the fourth term in A058529 The values of a are in A117476

FORMULA

c(1)=37, c(2)=65, c(3)=205, c(4)=373, c(n) = 6*c(n-2) - c(n-4)

EXAMPLE

c(5) = 6*205 - 37 = 1193 and 832^2 + 855^2 = 1193^2 and 855-832=23 and gcd(832,855,1193)=1

CROSSREFS

Cf. A058529, A117476.

Sequence in context: A103946 A107142 A158018 this_sequence A145486 A121764 A131499

Adjacent sequences: A117472 A117473 A117474 this_sequence A117476 A117477 A117478

KEYWORD

nonn

AUTHOR

Andras Erszegi (erszegi.andras(AT)chello.hu), Mar 19 2006

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Last modified November 25 08:46 EST 2009. Contains 167481 sequences.


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