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A060743 Least k such that gcd( p(k), q(k) ) is n, where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009). 1

%I #7 Nov 19 2019 18:03:12

%S 1,8,26,11,7,46,33,94,277,130,85,180,173,47,434,131,60,297,1175,569,

%T 40,305,1243,142,1024,213,169,775,988,900,1622,262,470,844,812,2391,

%U 9480,2607,1624,441,1061,2845,1686,501,749,109,6958,449,572,174,178,2887

%N Least k such that gcd( p(k), q(k) ) is n, where p() is the unrestricted partition function (A000041) and q is the distinct partition function (A000009).

%t Do[ d = GCD[ PartitionsP[ n ], PartitionsQ[ n ]]; If[ a[[ d ]] == 0, a[[ d ]] = n ], {n, 1, 10400} ]; Table[ a[[ n ]], {n, 1, 60} ]

%t With[{p=Table[GCD[PartitionsP[n],PartitionsQ[n]],{n,10000}]},Table[ Position[ p,n,1,1],{n,60}]]//Flatten (* _Harvey P. Dale_, Nov 19 2019 *)

%K nonn

%O 1,2

%A _Robert G. Wilson v_, Apr 23 2001

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Last modified April 25 16:45 EDT 2024. Contains 371989 sequences. (Running on oeis4.)