cp's OEIS Frontend

A162192 Triangle read by rows in which row n lists the divisors of n, prime(n), the consecutive composites that are greater than prime(n), and prime (n+1), but row 0 is formed by 1 and 2.

%I A162192 #8 Apr 01 2017 20:34:58
%S A162192 1,2,1,2,3,1,2,3,4,5,1,3,5,6,7,1,2,4,7,8,9,10,11,1,5,11,12,13,1,2,3,6,
%T A162192 13,14,15,16,17,1,7,17,18,19,1,2,4,8,19,20,21,22,23,1,3,9,23,24,25,26,
%U A162192 27,28,29,1,2,5,10,29,30,31
%N A162192 Triangle read by rows in which row n lists the divisors of n, prime(n), the consecutive composites that are greater than prime(n), and prime (n+1), but row 0 is formed by 1 and 2.
%C A162192 See also A162190, a sequence with a similar structure.
%H A162192 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polprdipi.jpg">Illustration: Divisors and pi(x)</a>
%H A162192 Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>
%e A162192 Triangle begins:
%e A162192 1,(2);
%e A162192 1,(2),(3);
%e A162192 1,.2.,(3),4,(5);
%e A162192 1,.....3,...(5),6,(7);
%e A162192 1,.2,.....4,......(7),8,.9,10,(11);
%e A162192 1,...........5,...............(11),12,(13);
%e A162192 1,.2,..3,.......6,....................(13),14,15,16,(17);
%e A162192 1,.................7,...............................(17),18,(19);
%e A162192 1,.2,.....4,..........8,....................................(19),20,21,22,(23);
%Y A162192 Cf. A000005, A000040, A000720, A027750, A018253, A160811, A160812, A161205, A161344, A161345, A161424, A006446, A161827, A161828, A161835, A162190.
%K A162192 easy,nonn,tabf
%O A162192 0,2
%A A162192 _Omar E. Pol_, Jun 30 2009