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.

A225377 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 Q.

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%I A225377 #23 Feb 11 2015 23:11:29
%S A225377 4,6,9,16,24,34,46,59,73,88,105,123,142,163,185,208,233,259,286,314,
%T A225377 343,373,404,436,469,504,541,579,618,658,699,741,784,828,873,920,968,
%U A225377 1017,1067,1118,1170
%N A225377 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 Q.
%C A225377 P can be extended for 10^6 terms, but it is not known if P,Q,R can be extended to infinity.
%C A225377 A probabilistic argument suggests that P, Q, R are infinite. - _N. J. A. Sloane_, May 19 2013
%H A225377 Christopher Carl Heckman, <a href="/A225377/b225377.txt">Table of n, a(n) for n = 1..10001</a>
%e A225377 The initial terms of P, Q, R are:
%e A225377 1     5    11    20    36    60    94   140   199   272   360
%e A225377    4     6     9    16    24    34    46    59    73    88
%e A225377       2     3     7     8    10    12    13    14    15
%p A225377 See A225376.
%Y A225377 Cf. A225376, A225378, A005228, A030124, A037257.
%K A225377 nonn
%O A225377 1,1
%A A225377 _N. J. A. Sloane_, May 12 2013, based on email from _Christopher Carl Heckman_, May 06 2013
%E A225377 Corrected and edited by _Christopher Carl Heckman_, May 12 2013