A B-file for the Integer Sequence A083097: a(n) = A083096(n)/6.
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This is a b-file that I have contributed to the Integer Sequence A083097 which is represented by the general formula: a(n) = A083096(n)/6 in the On-Line Encyclopedia of Integer Sequences.The general formula describe the following: A083096(n)/6: Numbers k such that 3 divides Sum_{j=1..k} binomial(2*j,j) / 6. A b-file can provide many more terms of a sequence than the number of terms reported in a typical OEIS sequence entry.In this particular instance, I have derived 128 terms, which are delineated in the attached .txt file as follows: the initial column denotes the n-number, with the subsequent column denoting the corresponding a(n) term for the n-number.Mathematica program used to compute this b-file:Join[{0}, Position[Accumulate[Table[Binomial[2 j, j], {j, 3000}]], _?(Divisible[#, 3] &)]//Flatten]/6Note: The above Mathematica program was published in the entry https://oeis.org/A083097
创建时间:
2025-01-13



