

A162192


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


0



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, 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, 27, 28, 29, 1, 2, 5, 10, 29, 30, 31
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OFFSET

0,2


COMMENTS

See also A162190, a sequence with a similar structure.


LINKS

Table of n, a(n) for n=0..67.
Omar E. Pol, Illustration: Divisors and pi(x)
Omar E. Pol, Determinacion geometrica de los numeros primos y perfectos


EXAMPLE

Triangle begins:
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,....................(13),14,15,16,(17);
1,.................7,...............................(17),18,(19);
1,.2,.....4,..........8,....................................(19),20,21,22,(23);


CROSSREFS

Cf. A000005, A000040, A000720, A027750, A018253, A160811, A160812, A161205, A161344, A161345, A161424, A006446, A161827, A161828, A161835, A162190.
Sequence in context: A037125 A194029 A194055 * A238954 A238967 A066657
Adjacent sequences: A162189 A162190 A162191 * A162193 A162194 A162195


KEYWORD

easy,nonn,tabf


AUTHOR

Omar E. Pol, Jun 30 2009


STATUS

approved



