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%I #9 Jul 12 2022 20:59:16
%S 0,1,3,15,87,687,6447,71967,918687,13256607,212840607,3765435807,
%T 72741666207,1523637512607,34389853295007,832071217775007,
%U 21482864837231007,589515687506543007,17133249343107695007,525731414152434287007,16984313499467403887007
%N 1-sequence of reduction of (n!) by x^2 -> x+1.
%C See A192232 for definition of "k-sequence of reduction of [sequence] by [substitution]". After the tenth term, the final digit is 7, for terms in both A192253 and A192252. After the 100th term, the final 6 digits of terms in A192253 are 5,6,7,0,0,7.
%F Conjecture: a(n) -n*a(n-1) -(n-1)*(n-3)*a(n-2) +(n-1)*(n-2)*a(n-3)=0. - _R. J. Mathar_, May 04 2014
%F Conjecture: partial sums of A005443. - _Sean A. Irvine_, Jul 12 2022
%t (See A192252.)
%Y Cf. A192252, A192232.
%K nonn
%O 1,3
%A _Clark Kimberling_, Jun 27 2011
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