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 A191211 Increasing sequence generated by these rules: a(1)=1, and if x is in a then 1+2x and 1+x^2 are in a. 2
 1, 2, 3, 5, 7, 10, 11, 15, 21, 23, 26, 31, 43, 47, 50, 53, 63, 87, 95, 101, 107, 122, 127, 175, 191, 203, 215, 226, 245, 255, 351, 383, 407, 431, 442, 453, 491, 511, 530, 677, 703, 767, 815, 863, 885, 907, 962, 983, 1023, 1061, 1355, 1407, 1535, 1631, 1727, 1771, 1815, 1850, 1925, 1967, 2047, 2123, 2210, 2501 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A191203. LINKS Reinhard Zumkeller, Table of n, a(n) for n = 1..10000 EXAMPLE 1 -> 2,3 -> 5,7,10 -> MATHEMATICA g = 11; Union[Flatten[NestList[{1 + 2 #, 1 + #^2} &, 1, g]]] (* A191211; use g>10 to get all of first 60 terms *) PROG (Haskell) import Data.Set (singleton, deleteFindMin, insert) a191211 n = a191211_list !! (n-1) a191211_list = f \$ singleton 1 where f s = m : f (insert (2 * m + 1) \$ insert (m ^ 2 + 1) s') where (m, s') = deleteFindMin s -- Reinhard Zumkeller, Apr 18 2014 CROSSREFS Cf. A191203. Sequence in context: A266679 A285257 A317407 * A263133 A346592 A254860 Adjacent sequences: A191208 A191209 A191210 * A191212 A191213 A191214 KEYWORD nonn AUTHOR Clark Kimberling, May 29 2011 STATUS approved

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Last modified August 11 05:23 EDT 2024. Contains 375059 sequences. (Running on oeis4.)