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Binomial(n, d(n)), where d(n) = A000005(n) is the number of divisors of n.
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%I #10 May 08 2021 09:21:31

%S 1,1,3,4,10,15,21,70,84,210,55,924,78,1001,1365,4368,136,18564,171,

%T 38760,5985,7315,253,735471,2300,14950,17550,376740,406,5852925,465,

%U 906192,40920,46376,52360,94143280,666,73815,82251,76904685,820,118030185,903,7059052,8145060

%N Binomial(n, d(n)), where d(n) = A000005(n) is the number of divisors of n.

%t Table[Binomial[n, DivisorSigma[0, n]], {n, 1, 50}] (* _Vaclav Kotesovec_, May 08 2021 *)

%o (PARI) vector(60,n,binomial(n,numdiv(n)))

%Y Cf. A000005, A066449, A068904.

%K nonn

%O 1,3

%A _Franklin T. Adams-Watters_, Jan 14 2012