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E. E. Kummer, <a href= "https://doi.org/10.1515/crll.1852.44.93" >Über die Ergänzungssätze zu den allgemeinen Reciprocitätsgesetzen</a>, Journal für die reine und angewandte Mathematik, Vol. 44 (1852), pp. 93-146; <a href= "https://eudml.org/doc/147500" >alternative link</a>.

Dorel Miheţ, <a href= "https://doi.org/10.1007/s12045-010-0123-4" >Legendre's and Kummer's theorems again</a>, Resonance, Vol. 15, No. 12 (2010), pp. 1111-1121; <a href= "https:// ias.ac.in/public/Volumes/reso/015/12/1111-1121.pdf" >alternative link</a>.

Armin Straub, Victor H. Moll and Tewodros Amdeberhan, <a href= "https://eudml.org/doc/278348" >The p-adic valuation of k-central binomial coefficients</a>, Acta Arithmetica, Vol. 140, No. 1 (2009), pp. 31-42.

a(n) =A053735(n) -A053735(2*n)/2. -Amiram Eldar,Feb 12 2021

Cf.A000984,A005836,A007949,A053735.

3-adic valuation of binomial(2n,2*n,n): largest k such that 3^k divides binomial(2n,2*n,n).

Michael Gilleland, <a href= "/selfsimilar.html" >Some Self-Similar Integer Sequences</a>.

Wikipedia, <a href= "https://en.wikipedia.org/wiki/Kummer&#39;s_theorem" >Kummer's theorem</a>.

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3-adic valuation of binomial(2n,,n): largest k such that 3^k divides binomial(2n,,n).

(PARI) a(n)=valuation(binomial(2*n,n),3)

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3-adic valuation ofCbinomial(2n,n): largest k such that 3^k dividesCbinomial(2n,n).

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