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.

A302979 Powers of squarefree numbers whose prime indices are relatively prime. Heinz numbers of uniform partitions with relatively prime parts.

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%I A302979 #4 Apr 16 2018 18:56:52
%S A302979 2,4,6,8,10,14,15,16,22,26,30,32,33,34,35,36,38,42,46,51,55,58,62,64,
%T A302979 66,69,70,74,77,78,82,85,86,93,94,95,100,102,105,106,110,114,118,119,
%U A302979 122,123,128,130,134,138,141,142,143,145,146,154,155,158,161,165
%N A302979 Powers of squarefree numbers whose prime indices are relatively prime. Heinz numbers of uniform partitions with relatively prime parts.
%C A302979 A prime index of n is a number m such that prime(m) divides n. An integer partition is uniform if all parts appear with the same multiplicity. The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%C A302979 The number of uniform partitions of n with relatively prime parts is A078374(n).
%H A302979 A. David Christopher and M. Davamani Christober, <a href="http://emis.impa.br/EMIS/journals/GMN/yahoo_site_admin/assets/docs/1_GMN-2492-V13N2.77213831.pdf">Relatively Prime Uniform Partitions</a>, Gen. Math. Notes, Vol. 13, No. 2, December, 2012, pp.1-12.
%e A302979 Sequence of all uniform relatively prime integer partitions begins (1), (11), (21), (111), (31), (41), (32), (1111), (51), (61), (321), (11111), (52), (71), (43), (2211).
%t A302979 Select[Range[200],And[GCD@@PrimePi/@FactorInteger[#][[All,1]]===1,SameQ@@FactorInteger[#][[All,2]]]&]
%Y A302979 Cf. A000009, A000837, A007916, A047966, A052409, A052410, A072774, A078374, A289023, A289509, A300486, A302491, A302796.
%K A302979 nonn
%O A302979 1,1
%A A302979 _Gus Wiseman_, Apr 16 2018