cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A225378 Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,5,11, Q starts with 4,6, R starts with 2; at each stage the smallest number not yet present in P,Q,R is appended to R; every number appears exactly once in the union of P,Q,R. Sequence gives R.

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%I A225378 #21 Feb 11 2015 23:11:51
%S A225378 2,3,7,8,10,12,13,14,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,
%T A225378 35,37,38,39,40,41,42,43,44,45,47,48,49,50,51,52,53,54,55,56,57,58,61,
%U A225378 62,63,64
%N A225378 Construct sequences P,Q,R by the rules: Q = first differences of P, R = second differences of P, P starts with 1,5,11, Q starts with 4,6, R starts with 2; at each stage the smallest number not yet present in P,Q,R is appended to R; every number appears exactly once in the union of P,Q,R. Sequence gives R.
%C A225378 P can be extended for 10^6 terms, but it is not known if P,Q,R can be extended to infinity.
%C A225378 A probabilistic argument suggests that P, Q, R are infinite. - _N. J. A. Sloane_, May 19 2013
%H A225378 Christopher Carl Heckman, <a href="/A225378/b225378.txt">Table of n, a(n) for n = 1..10000</a>
%e A225378 The initial terms of P, Q, R are:
%e A225378 1     5    11    20    36    60    94   140   199   272   360
%e A225378    4     6     9    16    24    34    46    59    73    88
%e A225378       2     3     7     8    10    12    13    14    15
%p A225378 See A225376.
%Y A225378 Cf. A225376, A225377, A005228, A030124, A037257.
%K A225378 nonn
%O A225378 1,1
%A A225378 _N. J. A. Sloane_, May 12 2013, based on email from _Christopher Carl Heckman_, May 06 2013
%E A225378 Corrected and edited by _Christopher Carl Heckman_, May 12 2013