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A106331 Numbers j such that 24*(j^2) + 25 = k^2. 2
0, 1, 2, 5, 12, 21, 50, 119, 208, 495, 1178, 2059, 4900, 11661, 20382, 48505, 115432, 201761, 480150, 1142659, 1997228, 4752995, 11311158, 19770519, 47049800, 111968921, 195707962, 465745005, 1108378052, 1937309101, 4610400250 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
The ratio k(n) /(2*j(n)) tends to sqrt(6) as n increases
LINKS
FORMULA
j(1)=0, j(2)=1, j(3)=2, j(4)=5, j(5)=10*j(2)+j(3), j(6)=10*j(3)+j(2), j(7)=10*j(4)+j(1) then j(n)=10*j(n-3)-j(n-6).
a(n) = +10*a(n-3) -a(n-6). G.f.: x^2*(1+2*x+5*x^2+2*x^3+x^4)/(1-10*x^3+x^6). [R. J. Mathar, May 22 2010]
a(3*n+1) = 5*A004189(n), a(3*n+2) = A077251(n), a(3*n+3) = A077249(n). - Ralf Stephan, Nov 15 2010
CROSSREFS
Cf. A106330.
Sequence in context: A353220 A170927 A182201 * A368969 A116727 A116729
KEYWORD
nonn,easy
AUTHOR
Pierre CAMI, Apr 29 2005
EXTENSIONS
More terms from Jon E. Schoenfield, May 16 2010
STATUS
approved

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Last modified March 19 01:57 EDT 2024. Contains 370952 sequences. (Running on oeis4.)