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A077291
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Second member of Diophantine pair (m,k) that satisfies 6*(m^2+m)=k^2+k: a(n)=k.
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4
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0, 3, 8, 35, 84, 351, 836, 3479, 8280, 34443, 81968, 340955, 811404, 3375111
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| The first members m are in A077288
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REFERENCES
| Mohammad K. Azarian, Diophantine Pair, Problem B-881, Fibonacci Quarterly, Vol. 37, No. 3, August 1999, pp. 277-278. Solution appeared in Vol. 38, No. 2, May 2000, pp. 183-184.
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FORMULA
| Let b(n) be A077290. Then a(n)=(-1+sqrt(8*b(n)+1))/2
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EXAMPLE
| b(3)=630 so a(3)=(-1+sqrt(8*630+1))/2=(-1+sqrt(5041))/2=(71-1)/2=35
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CROSSREFS
| Cf. A077288, A077289, A077290.
Sequence in context: A063805 A125046 A204451 * A192212 A148918 A194090
Adjacent sequences: A077288 A077289 A077290 * A077292 A077293 A077294
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KEYWORD
| easy,nonn
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AUTHOR
| Bruce Corrigan (scentman(AT)myfamily.com), Nov 03 2002
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