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 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. 8
 2, 3, 7, 8, 10, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 61, 62, 63, 64 (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..10000 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, A225377, A005228, A030124, A037257. Sequence in context: A288696 A163517 A047532 * A028808 A029718 A206821 Adjacent sequences: A225375 A225376 A225377 * A225379 A225380 A225381 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 June 8 18:04 EDT 2023. Contains 363165 sequences. (Running on oeis4.)