A275531 Values taken by the sum of numbers in Collatz trajectory (A033493), sorted into ascending order.

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, 442, 452, 465, 497, 498, 500, 505, 509, 511, 519, 535, 540

Offset

1,2

Comments

Values a(n) such that a(n) = a(n+1): 442, 609, 633, 724, 904, 925, ...

Links

Table of n, a(n) for n=1..56.

Eric Weisstein's World of Mathematics, Collatz Problem

Wikipedia, Collatz conjecture

Prog

(Magma) 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, A275532.

Sequence in context: A090633 A320024 A098583 * A275532 A212315 A043729

Adjacent sequences: A275528 A275529 A275530 * A275532 A275533 A275534

Keyword

nonn

Author

Jaroslav Krizek, Jul 31 2016

Status

approved