cp's OEIS Frontend

A139025 This is to A014688 as A014688 to A000027, see comments for definition.

%I A139025 #3 Mar 30 2012 17:26:27
%S A139025 4,7,14,23,84,107,120,135,172,183,234,283,396,433,446,519,588,617,638,
%T A139025 661,680,695,706,725,758,783,854,891,1000,1043,1064,1119,1226,1283,
%U A139025 1458,1469,1490,1521,1618,1661,1708,1765,2046,2157,2224,2333,2428,2507,2516
%N A139025 This is to A014688 as A014688 to A000027, see comments for definition.
%C A139025 Take some initial sequence s1 = a(1), a(2),...
%C A139025 then for new sequence s2 = b(1), b(2),.. we define
%C A139025 b(n) = n + (n-th prime in s1).
%C A139025 If s1 = A000027 then we clearly get A014688.
%C A139025 If s1 = A014688 = 3,5,8,11,16,19,24,27,32,39,42,49,54,57,62,69,76,79,86,91,94
%C A139025 then b(1) = 1 + 3 (because 3 is the first prime in s1)
%C A139025 b(2) = 2 + 5 (because 5 is the 2nd prime in s1)
%C A139025 b(3) = 3 + 11 (because 11 is the 3rd prime in s1)
%C A139025 b(4) = 4 + 19 (because 19 is the 4th prime in s1)
%C A139025 b(5) = 5 + 79 (because 79 is the 5th prime in s1),
%C A139025 resulting sequence is A139025
%C A139025 Repeating the same procedure we have next sequences:
%C A139025 A139026: 8,25,110,287,438,623,668,1291,2342,2813,3790,3863,4230,4663,4828,6377,7468
%C A139025 A139027: 1292,3865,4666,8973,13936,50339,57266,67597,72316,85343,110934,132941,147990
%C A139025 A139028:270240,375255,635282,1000695,2039428,2602013,3398274,3748771,4300120
%C A139025 A139029:43448724,59672019,102128690,113904945,145135734,169755139
%F A139025 A139025(n)=n+A061068(n)
%Y A139025 Cf. A000027, A014688, A061068, A139026-A139029.
%K A139025 nonn
%O A139025 1,1
%A A139025 _Zak Seidov_, Apr 07 2008