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A260593 The values of the modified Syracuse algorithm, msa, in the order in which they appear in A260590. 2
4, 2, 7, 5, 59, 56, 8, 54, 51, 45, 42, 31, 15, 40, 21, 29, 13, 12, 20, 27, 24, 10, 16, 18, 23, 39, 81, 35, 37, 26, 80, 34, 78, 43, 32, 61, 58, 50, 48, 46, 70, 65, 69, 53, 64, 77, 73, 72, 105, 75, 67, 83, 62, 92, 135, 126, 86, 111, 129, 124, 123, 127, 88, 119, 108, 100 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A260590 for the definition of the msa.

Sorted: 2, 4, 5, 7, 8, 10, 12, 13, 15, 16, 18, 20, 21, 23, 24, 26, 27, 29, 31, 32, 34, 35, 37, 39, 40, 42, 43, 45, 46, 48, 50, 51, 53, 54, 56, 58, 59, 61, 62, 64, 65, 67, 69, 70, 72, 73, 75, 77, 78, 80, 81, 83, 85, 86, 88, 89, 91, 92, 94, 96, 97, 99, 100, ... (A020914(n) for n>0).

Record values: 4, 7, 59, 81, 105, 135, 164, 165, 173, 176, 183, 224, 246, 287, 292, 298, 308, 376, 395, 398, 433, 447, ... .

Record last values to appear: 2, 5, 8, 10, 16, 18, 23, 26, 32, 46, 53, 62, 85, 94, 99, 102, 107, 115, 118, 130, 132, 134, 148, ... .

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

Every odd number greater than 1 yields a msa value. a(1) is 4 and it corresponds to A260590(1).

a(2) is 2 since A260590(2) is 2.

a(3) is 7 since A260590(3) is 7.

a(4) is 5 since A260590(5) is 5, A260590(4) is 2 but it already appears as a(2).

MATHEMATICA

msa[n_] := If[ OddQ@ n, (3n + 1)/2, n/2]; f[n_] := Block[{k = 2n + 1}, Length@ NestWhileList[ msa@# &, k, # >= k &] - 1]; k = 1; lst = {}; While[k < 10000001, a = f@ k; If[ !MemberQ[lst, a], AppendTo[lst, a]]; k++]; lst

CROSSREFS

Cf. A260590, A260594.

Sequence in context: A259927 A002560 A124908 * A143370 A307869 A016695

Adjacent sequences:  A260590 A260591 A260592 * A260594 A260595 A260596

KEYWORD

nonn,easy

AUTHOR

Joseph K. Horn and Robert G. Wilson v, Aug 30 2015

STATUS

approved

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Last modified January 27 04:57 EST 2020. Contains 331291 sequences. (Running on oeis4.)