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 A275532 Possible values for sum of numbers in Collatz trajectory (A033493), sorted into ascending order. 1
 1, 3, 7, 15, 31, 36, 46, 49, 55, 63, 66, 67, 91, 106, 119, 127, 139, 145, 148, 186, 190, 197, 214, 235, 248, 255, 259, 274, 281, 288, 301, 302, 316, 325, 330, 339, 346, 357, 386, 393, 399, 413, 427, 442, 452, 465, 497, 498, 500, 505, 509, 511, 519, 535, 540, 557 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Values a(n) such that a(n) = A033493(x) = A033493(y)  for distinct numbers x and y: 442, 609, 633, 724, 904, 925, ... LINKS MATHEMATICA Take[#, 56] &@ Union@ Table[Total@ FixedPointList[Which[# == 1, 1, OddQ@ #, 3 # + 1, True, #/2] &, n] - 1, {n, 10^3}] (* Michael De Vlieger, Aug 02 2016 *) PROG (MAGMA) Set(Sort([&+[k eq 1 select n else IsOdd(Self(k-1)) and not IsOne(Self(k-1)) select 3*Self(k-1)+1 else Self(k-1) div 2: k in [1..5*n]]: n in [1..2^10] | &+[k eq 1 select n else IsOdd(Self(k-1)) and not IsOne(Self(k-1)) select 3*Self(k-1)+1 else Self(k-1) div 2: k in [1..5*n]] le 2^10])) CROSSREFS Cf. A033493, A275531. Sequence in context: A320024 A098583 A275531 * A212315 A043729 A331503 Adjacent sequences:  A275529 A275530 A275531 * A275533 A275534 A275535 KEYWORD nonn AUTHOR Jaroslav Krizek, Jul 31 2016 STATUS approved

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Last modified January 18 19:59 EST 2021. Contains 340262 sequences. (Running on oeis4.)