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 A106330 Numbers k such that k^2 = 24*(j^2) + 25. 1
 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, 958769291, 2281675225, 5429921339, 9490837543, 22586256245, 53750679943 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The ratio k(n) /(2*j(n)) tends to sqrt(6) as n increases. LINKS Index entries for linear recurrences with constant coefficients, signature (0,0,10,0,0,-1). FORMULA 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). PROG (PARI) Vec(-x*(7*x^5+11*x^4+25*x^3-11*x^2-7*x-5)/(x^6-10*x^3+1) + O(x^100)) \\ Colin Barker, Apr 16 2014 CROSSREFS Cf. A106331. Sequence in context: A067289 A036491 A036490 * A057247 A157437 A213677 Adjacent sequences:  A106327 A106328 A106329 * A106331 A106332 A106333 KEYWORD nonn,easy AUTHOR Pierre CAMI, Apr 29 2005 EXTENSIONS More terms, g.f. and formulas from Ralf Stephan, Nov 15 2010 More terms from Colin Barker, Apr 16 2014 STATUS approved

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Last modified November 25 20:42 EST 2020. Contains 338627 sequences. (Running on oeis4.)