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.

A275382 Number of odd prime factors (with multiplicity) of generalized Fermat number 11^(2^n) + 1.

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%I A275382 #14 Jul 27 2016 10:23:06
%S A275382 1,1,1,2,2,3,2,5,6
%N A275382 Number of odd prime factors (with multiplicity) of generalized Fermat number 11^(2^n) + 1.
%F A275382 a(n) = A001222(A199592(n)) - 1 for n > 0. - _Felix Fröhlich_, Jul 25 2016
%e A275382 b(n) = (11^(2^n) + 1)/2.
%e A275382 Complete Factorizations
%e A275382 b(0) = 2*3
%e A275382 b(1) = 61
%e A275382 b(2) = 7321
%e A275382 b(3) = 17*6304673
%e A275382 b(4) = 51329*447600088289
%e A275382 b(5) = 193*257*21283620033217629539178799361
%e A275382 b(6) = 316955440822738177*P49
%e A275382 b(7) = 15361*111489577217*574341646346402207998363393*
%e A275382        4018529583345312964042058778793458689*P55
%e A275382 b(8) = 15190529*4696846849*19618834249745000485889*
%e A275382        4393553986026616439660661873903822389581313*
%e A275382        290103547098489711747952055517085778590240759297*P138
%o A275382 (PARI) a001222(n) = bigomega(n)
%o A275382 a199592(n) = 11^(2^n)+1
%o A275382 a(n) = if(n==0, 1, a001222(a199592(n))-1) \\ _Felix Fröhlich_, Jul 25 2016
%Y A275382 Cf. A199592, A273949.
%K A275382 nonn,hard,more
%O A275382 0,4
%A A275382 _Arkadiusz Wesolowski_, Jul 25 2016
%E A275382 a(8) was found in 2006 by Bruce Dodson