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Search: id:A106528
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| A106528 |
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Values of b in a^2 - 289 = 2*b^2. |
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+0
2
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| 6, 20, 34, 56, 126, 204, 330, 736, 1190, 1924, 4290, 6936, 11214, 25004, 40426, 65360, 145734, 235620, 380946, 849400, 1373294, 2220316, 4950666, 8004144, 12940950, 28854596, 46651570, 75425384, 168176910, 271905276, 439611354, 980206864
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OFFSET
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1,1
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FORMULA
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b(1)=6, b(2)=20, b(3n)=A001109(n)*34, b(3n+1)=A001109(n+2)+4*A001109(n+1)-3*A001109(n)+4*A001109(n-1), b(3n+2)=4*A001109(n+2)-3*A001109(n+1)+4*A001109(n)+A001109(n-1)
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EXAMPLE
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b(9)=1190, 34*A001109(3)=34*35=1190; b(10)=1924, A001109(5)+4*A001109(4)-3*A001109(3)+4*A001109(2)=1189+4*204-3*35+4*6=1924; b(11)=4290, 4*A001109(5)-3*A001109(4)+4*A001109(3)+A001109(2)=4*1189-3*204+4*35+6=4290; also 2*4290^2=A106527(11)^2-289=6067^2-289
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CROSSREFS
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Cf. A001109, A106527.
Sequence in context: A006036 A140738 A031005 this_sequence A031068 A031052 A097811
Adjacent sequences: A106525 A106526 A106527 this_sequence A106529 A106530 A106531
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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), May 09 2005
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