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A144450
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Second bisection of A061039.
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1
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7, 1, 55, 91, 5, 187, 247, 35, 391, 475, 7, 667, 775, 11, 1015, 1147, 143, 1435, 1591, 65, 1927, 2107, 85, 2491, 2695, 323, 3127, 3355, 133, 3835, 4087, 161, 4615, 4891, 575, 5467, 5767, 75, 6391, 6715, 87, 7387, 7735, 899, 8455, 8827, 341, 9595, 9991, 385, 10807, 11227, 1295, 12091, 12535
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OFFSET
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1,1
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COMMENTS
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Related to the Paschen spectrum of hydrogen. Contains only odd numbers. The sequence read modulo 9 is "full" and contains all numbers from 0 to 8.
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
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FORMULA
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a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81). - G. C. Greubel, Mar 06 2022
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MATHEMATICA
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Numerator[1/9 - 1/(2*Range[2, 100])^2] (* G. C. Greubel, Mar 06 2022 *)
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PROG
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(Sage) [numerator(1/9 -1/(2*n+2)^2) for n in (1..100)] # G. C. Greubel, Mar 06 2022
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Formula index corrected, extended by R. J. Mathar, Dec 02 2008
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STATUS
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approved
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