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%I #9 Aug 08 2015 21:22:19
%S 1,1,3,1,7,16,1,15,61,115,1,31,206,626,1056,1,63,659,2989,7554,11774,
%T 1,127,2052,13308,47349,105099,154624,1,255,6297,56935,274677,824331,
%U 1660957,2337507,1,511,19162,237862,1518478,5960818,15747154,29428654
%N Triangle formed by left half of A101842, read by rows.
%e Triangle begins:
%e 1,
%e 1, 3,
%e 1, 7, 16,
%e 1, 15, 61, 115,
%e 1, 31, 206, 626, 1056,
%e 1, 63, 659, 2989, 7554, 11774,
%p A101842 := proc(n,k) option remember ; if k < -n or k >= n then 0 ; elif n = 1 then 1; else (n-k)*A101842(n-1,k-1)+A101842(n-1,k)+(n+k+1)*A101842(n-1,k+1) ; fi ; end: A101845 := proc(n,k) A101842(n,-n+k-1) ; end: for n from 1 to 10 do for k from 1 to n do printf("%d, ",A101845(n,k)) ; od: od: # _R. J. Mathar_, Aug 07 2007
%K nonn,tabl
%O 1,3
%A _David Applegate_, Jun 19 2007
%E More terms from _R. J. Mathar_, Aug 07 2007
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