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a(n) = sqrt(A167657(n)).
2

%I #7 Dec 26 2023 12:20:41

%S 0,1,2,3,16,5,36,7,64,729,10,1331,144,13,196,3375,4096,17,5832,361,20,

%T 9261,484,12167,331776,625,26,729,28,841,21870000000,961,32768,33,

%U 45435424,35,46656,50653,1444,59319,64000,41,130691232,43,1936,45

%N a(n) = sqrt(A167657(n)).

%C a(n) = prime => A096478(n).

%C If a(n) = prime => A096478(n). - _Giovanni Teofilatto_, Nov 12 2009

%p A000720 := proc(n) numtheory[pi](n) ; end proc: A167761 := proc(nmax) local ol,a ; ol := 0 ; a := 0 ; for n from 1 to nmax do if A000720(n) = ol then a := a*ol ; else printf("%d,",sqrt(a)) ; a := A000720(n) ; end if; ol := A000720(n) ; end do ; return ; end proc: A167761(260) ; # _R. J. Mathar_, Jan 30 2010

%Y Cf. A167657.

%Y Cf. A096478. - _Giovanni Teofilatto_, Nov 12 2009

%K nonn

%O 1,3

%A _Giovanni Teofilatto_, Nov 11 2009, corrected Nov 12 2009

%E Previous a(15) removed, a(35) and a(43) corrected by _R. J. Mathar_, Jan 30 2010