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A106330
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Numbers k such that k^2 = 24*(j^2) + 25.
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1
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5, 7, 11, 25, 59, 103, 245, 583, 1019, 2425, 5771, 10087, 24005, 57127, 99851, 237625, 565499, 988423, 2352245, 5597863, 9784379, 23284825, 55413131, 96855367, 230496005, 548533447
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OFFSET
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1,1
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COMMENTS
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The ratio k(n) /(2*j(n)) tends to sqrt(6) as n increases.
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LINKS
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Table of n, a(n) for n=1..26.
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FORMULA
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Recurrence: k(1)=5, k(2)=7, k(3)=11, k(4)=25, k(5)=10*k(2)-k(3), k(6)=10*k(3)-k(2) then k(n)=10*k(n-3)-k(n-6).
G.f.: (-7x^5-11x^4-25x^3+11x^2+7x+5)/(x^6-10x^3+1).
a(3n+1) = 5*A001079(n), a(3n+2) = A077409(n), a(3n+3) = A077250(n).
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CROSSREFS
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Cf. A106331.
Sequence in context: A067289 A036491 A036490 * A057247 A157437 A213677
Adjacent sequences: A106327 A106328 A106329 * A106331 A106332 A106333
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI, Apr 29 2005
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EXTENSIONS
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More terms, g.f. and formulae from Ralf Stephan, Nov 15 2010.
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STATUS
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approved
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