|
%I #13 May 08 2019 05:19:12
%S 7,11,18,24,29,37,40,50,51,62,73,76,84,89,95,102,106,115,128,139,141,
%T 150,154,161,167,172,180,183,193,194,205,206,216,219,227,245,249,258,
%U 260,271,282,284,293,297,304,310,315,323,326,336,337,348,349,362,370,375,381,388,392,403,414,425,427,436
%N Numbers n >= 0 such that d(n) = (n^1 + 1)*(n^2 + 2)*...*(n^26 + 26) / 26! is nonintegral.
%C Notice that 26! = 2^23 * 3^10 * 5^6 * 7^3 * 11^2 * 13^2 * 17 * 19 * 23. There is no divisibility for 11^2 and n in {11m+7} \ {121m+117} and for 13^2 and n in {13m+11} \ {169m+63}. Therefore, this sequence is formed by the union ( {11m+7} \ {121m+117} ) U ( {13m+11} \ {169m+63}). - _Max Alekseyev_, Nov 10 2007
%p d:=proc(n) options operator, arrow: (product(n^j+j,j=1..26))/factorial(26) end proc: a:=proc(n) if type(d(n), integer) = false then n else end if end proc; seq(a(n),n=1..300); # _Emeric Deutsch_, Oct 24 2007
%Y Cf. A129995, A131189, A131190, A131191, A131685.
%K nonn
%O 1,1
%A _Alexander R. Povolotsky_, Sep 25 2007
%E Initial terms were calculated by _Peter J. C. Moses_; see comment in A129995
%E More terms from _Emeric Deutsch_, Oct 24 2007
%E More terms from _Max Alekseyev_, Feb 02 2015
|
