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A120074 Row sums of triangle A120072 (numerator triangle for H atom spectrum). 6
3, 13, 25, 70, 54, 203, 197, 340, 303, 825, 445, 1378, 892, 1221, 1565, 3128, 1545, 4389, 2427, 3592, 3688, 7843, 3589, 8420, 6191, 9097, 7135, 15834, 5774, 19375, 12493, 14814, 14147, 19647, 12264, 33078 (list; graph; refs; listen; history; text; internal format)
OFFSET
2,1
LINKS
FORMULA
a(n) = Sum_{k=1..n-1} A120072(n,k) for n >= 2.
MATHEMATICA
Table[Sum[1/n^2 - 1/m^2 //Numerator, {n, m-1}], {m, 2, 40}] (* Jean-François Alcover, Sep 16 2013 *)
PROG
(Magma)
A120072:= func< n, k | Numerator(1/k^2 - 1/n^2) >;
[(&+[A120072(n, k): k in [1..n-1]]): n in [2..50]]; // G. C. Greubel, Apr 24 2023
(SageMath)
def A120072(n, k): return numerator(1/k^2 - 1/n^2)
[sum(A120072(n, k) for k in range(1, n)) for n in range(2, 51)] # G. C. Greubel, Apr 24 2023
CROSSREFS
Sequence in context: A146371 A146379 A056714 * A056706 A052454 A330718
KEYWORD
nonn,easy
AUTHOR
Wolfdieter Lang, Jul 20 2006
STATUS
approved

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Last modified June 1 17:00 EDT 2023. Contains 363076 sequences. (Running on oeis4.)