A162190 - OEIS

%I #12 Dec 27 2023 21:21:11

%S 1,1,2,1,2,3,4,1,3,5,6,1,2,4,7,8,9,10,1,5,11,12,1,2,3,6,13,14,15,16,1,

%T 7,17,18,1,2,4,8,19,20,21,22,1,3,9,23,24,25,26,27,28,1,2,5,10,29,30,1,

%U 11,31,32,33,34,35,36,1,2,3,4,6,12,37,38,39,40

%N Triangle read by rows in which row n lists the divisors of n, the n-th prime and the consecutive composites that are greater than the n-th prime, with a(0)=1.

%H Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polprdipi.jpg">Illustration of initial terms: Divisors and pi(x)</a>

%H Omar E. Pol, <a href="http://www.polprimos.com">Determinacion geometrica de los numeros primos y perfectos</a>

%e Triangle begins:

%e 1;

%e 1,(2);

%e 1,.2,(3),4;

%e 1,....3,...(5),6;

%e 1,.2,....4,......(7),8,.9,10;

%e 1,..........5,..............(11),12;

%e 1,.2,.3,.......6,..................(13),14,15,16;

%e 1,................7,............................(17),18;

%e 1,.2,....4,..........8,................................(19),20,21,22;

%Y Cf. A000005, A000040, A000720, A027750, A018253, A160811, A160812, A161205, A161344, A161345, A161424, A006446, A161827, A161828, A161835.

%K easy,nonn,tabf

%O 0,3

%A _Omar E. Pol_, Jun 30 2009