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Search: id:A009759
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| A009759 |
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Expansion of (3*x-17)/((x-1)*(x^2-6*x+1)). |
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1
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| -3, 0, 17, 116, 693, 4056, 23657, 137900, 803757, 4684656, 27304193, 159140516, 927538917, 5406093000, 31509019097, 183648021596, 1070379110493, 6238626641376, 36361380737777, 211929657785300, 1235216565974037
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Numbers n such that 2*n^2 + 14*n + 25 is the square of an integer. - James Buddenhagen (jbuddenh(AT)gmail.com), Jul 19 2008
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FORMULA
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( (1+sqrt(2))^(2n-1) + (1-sqrt(2))^(2n-1) - 14 )/4.
a(n)-a(n-1)=A001541(n), n>0. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Apr 23 2009]
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CROSSREFS
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A001652 - 3.
Sequence in context: A143779 A036968 A024040 this_sequence A127187 A057398 A013579
Adjacent sequences: A009756 A009757 A009758 this_sequence A009760 A009761 A009762
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KEYWORD
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sign
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Nick Baxter (nick(AT)visigenic.com)
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