sequences and question

kohmoto zbi74583 at boat.zero.ad.jp
Fri Apr 8 09:18:16 CEST 2005


    I submit   some sequences.



    %I A000001
    %S A000001 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 
0, 1, 1, 2, 0, 2, 0, 2,       

    %N A000001     a(n)=Prime(n)+Prime(n+k) , mod 3
                         k=1/2*(Prime(n+1)-Prime(n))
    %O A000001     2,1
    %Y A000001    A103270
    %K A000001    nonn
    %A A000001    Yasutoshi Kohmoto (zbi74583 at boat.zero.ad.jp)





    %I A000002
    %S A000002  2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 13, 14, 15, 16, 17, 12, 
19, 50, 21, 22, 23, 54, 25, 26, 27, 98, 29, 30,
    %T A000002 31, 32, 33, 34, 35, 36, 37, 38, 39, 250, 41, 42, 43, 242, 75, 
46, 47, 162, 49, 20, 51, 338, 53, 24, 55, 686, 57, 58, 59, 90
    %N A000002 a(n)=a(  Product p_i^r_i , 0<=i<=k ) =  Product p_i^r_(i-1) 
, where p_0^r_(-1)=p_0^r_k
    %C A000002 Permutation , 2<=n . The first term which is different from 
A069799 is a(60).
    %e A000002    a(60)=a(2^2*3*5)=2*3^2*5=90
    %O A000002     2,1
    %Y A000002    A069799
    %K A000002    nonn
    %A A000002    Yasutoshi Kohmoto (zbi74583 at boat.zero.ad.jp)



    %I A000003
    %S A000003 2, 5, 11, 23, 47, 97, 197, 397, 797, 1597, 3209, 6449
    %N A000003 a(n)=2*a(n-1)+k_n . k_n is the smallest positive number such 
that  k_{n-1}<=k_n , a(n) is Prime
    %e A000003    1597+k is not prime for 3<=k<15
    %O A000003     2,1
    %Y A000003    A000004
    %K A000003    nonn
    %A A000003    Yasutoshi Kohmoto (zbi74583 at boat.zero.ad.jp)


    %I A000004
    %S A000004 0, 1, 1, 1, 1, 3, 3, 3, 3, 3, 15, 31
    %N A000004 k number of A000003
    %C A000004 a(1)=0 is an artificial term for A000003(1)
    %O A000004    1,5
    %Y A000004    A000003
    %K A000004    nonn
    %A A000004    Yasutoshi Kohmoto (zbi74583 at boat.zero.ad.jp)

    To Neil
    question  :
    How can I know number of all sequences which I submitted to OEIS?

    Yasutoshi
 
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