Search: id:A098214
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%I A098214
%S A098214 1,1,2,2,4,6,6,8,4,2,14,4,6,2,10,8,4,6,12,2,18,6,8,18,10,14,4,2,10,12,
               8,
%T A098214 16,14,6,4,2,10,2,16,6,20,4,12,14,28,4,14,22,12,2,18,10,6,26,24,14,16,
               6,
%U A098214 20,10,12,2,18,42,4,24,18,6,4,20,22,8,12,24,16,14,10,30,6,4,20,22,8,12
%N A098214 Sequence of special consecutive prime differences which can be arranged 
               into rows of distinct differences with k=1,2,3,...length. Each row 
               is obtained from segment of k+1 consecutive primes started with A079007[k].
%C A098214 Rows generated by n-th term of A079007 are all distinct. See definition 
               of A079007.
%e A098214 Triangle begins:
%e A098214 1,
%e A098214 1,2,
%e A098214 2,4,6,
%e A098214 6,8,4,2,
%e A098214 14,4,6,2,10,
%e A098214 8,4,6,12,2,18,
%e A098214 6,8,18,10,14,4,2,
%e A098214 10,12,8,16,14,6,4,2,
%e A098214 10,2,16,6,20,4,12,14,28,
%e A098214 4,14,22,12,2,18,10,6,26,24,
%e A098214 14,16,6,20,10,12,2,18,42,4,24,
%e A098214 18,6,4,20,22,8,12,24,16,14,10,30,
%e A098214 6,4,20,22,8,12,24,16,14,10,30,18,2,
%e A098214 16,8,22,26,4,24,20,6,58,12,14,10,36,18,
%e A098214 16,8,22,26,4,24,20,6,58,12,14,10,36,18,2,
%e A098214 The 6th row {8,4,6,12,2,18}={a[16],...a[21]} is obtained as first
%e A098214 difference sequence of 7 primes started with prime[94]=491=A079007[6].
%e A098214 The k-th row starts and ends with terms a[1+k(k-1)/2] and a[ -1+k+k(k-1)/
               2].
%Y A098214 Cf. A001223, A079007, A098213.
%Y A098214 Sequence in context: A075569 A062722 A160731 this_sequence A109832 A039731 
               A005341
%Y A098214 Adjacent sequences: A098211 A098212 A098213 this_sequence A098215 A098216 
               A098217
%K A098214 nonn,tabl
%O A098214 1,3
%A A098214 Labos E. (labos(AT)ana.sote.hu), Oct 21 2004

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