cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A300306 Expected rounded number of draws until two persons simultaneously drawing cards with replacement from two separate decks of n cards, both obtain complete collections.

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%I A300306 #9 Mar 09 2018 17:52:05
%S A300306 1,4,7,10,14,18,22,26,31,35,40,45,49,54,59,64,69,74,79,85,90,95,101,
%T A300306 106,112,117,123,128,134,139,145,151,157,162,168,174,180,186,192,198,
%U A300306 204,210,216,222,228,234,240,246,252,258,264,271,277,283,289,296,302,308,315,321,327,334
%N A300306 Expected rounded number of draws until two persons simultaneously drawing cards with replacement from two separate decks of n cards, both obtain complete collections.
%C A300306 Coupon collector's problem for two persons.
%F A300306 a(n) = round(1 - Sum_{j=0..n} Sum_{k=0..n} ( (-1)^(2*n-j-k) * binomial(n,j) * binomial(n,k) * j * k / (n^2-j*k) )) excluding term with j=k=n in summation.
%e A300306 a(1)=1, a(2)=round(11/3)=3, a(3)=round(1909/280)=7, a(4)=round(4687/455)=10, a(5)=round(7517050763/535422888)=14.
%Y A300306 Cf. A300305 (diagonal in triangle).
%K A300306 nonn
%O A300306 1,2
%A A300306 _Hugo Pfoertner_, Mar 07 2018