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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Faulhabers-triangle/Mathematica/faulhabers-triangle.math Normal file
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ClearAll[Faulhaber]
bernoulliB[1] := 1/2
bernoulliB[n_] := BernoulliB[n]
Faulhaber[n_, p_] := 1/(p + 1) Sum[Binomial[p + 1, j] bernoulliB[j] n^(p + 1 - j), {j, 0, p}]
Table[Rest@CoefficientList[Faulhaber[n, t], n], {t, 0, 9}] // Grid
Faulhaber[1000, 17]