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 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. 8
 4, 6, 9, 16, 24, 34, 46, 59, 73, 88, 105, 123, 142, 163, 185, 208, 233, 259, 286, 314, 343, 373, 404, 436, 469, 504, 541, 579, 618, 658, 699, 741, 784, 828, 873, 920, 968, 1017, 1067, 1118, 1170 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS P can be extended for 10^6 terms, but it is not known if P,Q,R can be extended to infinity. A probabilistic argument suggests that P, Q, R are infinite. - N. J. A. Sloane, May 19 2013 LINKS Christopher Carl Heckman, Table of n, a(n) for n = 1..10001 EXAMPLE The initial terms of P, Q, R are: 1     5    11    20    36    60    94   140   199   272   360    4     6     9    16    24    34    46    59    73    88       2     3     7     8    10    12    13    14    15 MAPLE See A225376. CROSSREFS Cf. A225376, A225378, A005228, A030124, A037257. Sequence in context: A155569 A189484 A155567 * A036667 A056016 A231997 Adjacent sequences:  A225374 A225375 A225376 * A225378 A225379 A225380 KEYWORD nonn AUTHOR N. J. A. Sloane, May 12 2013, based on email from Christopher Carl Heckman, May 06 2013 EXTENSIONS Corrected and edited by Christopher Carl Heckman, May 12 2013 STATUS approved

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Last modified October 21 14:57 EDT 2018. Contains 316424 sequences. (Running on oeis4.)