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<b>A B-file for the Integer Sequence A083097: a(n) = A083096(n)/6.</b>

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Figshare2025-01-13 更新2026-04-08 收录
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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: <b>A083096(n)/6</b>: 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.<b>Mathematica program used to compute this b-file:</b>Join[{0}, Position[Accumulate[Table[Binomial[2 j, j], {j, 3000}]], _?(Divisible[#, 3] &amp;)]//Flatten]/6<b>Note: </b>The above Mathematica program was published in the entry https://oeis.org/A083097<br>

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2025-01-13
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