OFFSET
1,2
COMMENTS
From Paschen spectrum of hydrogen.
All numbers are multiples of 8.
LINKS
G. C. Greubel, Table of n, a(n) for n = 1..5000
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).
FORMULA
a(n) = A061039(2*n+1).
From G. C. Greubel, Mar 06 2022: (Start)
a(n) = 3*a(n-27) - 3*a(n-54) + a(n-81).
a(n) = 8*A178978(n). (End)
MATHEMATICA
Table[Numerator[1/3^2 - 1/(2*n+1)^2], {n, 100}] (* G. C. Greubel, Mar 06 2022 *)
PROG
(Sage) [numerator(1/9 -1/(2*n+1)^2) for n in (1..100)] # G. C. Greubel, Mar 06 2022
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul Curtz, Oct 06 2008
EXTENSIONS
Formula index corrected, extended by R. J. Mathar, Dec 02 2008
STATUS
approved