A330788 - OEIS

A330788

Values of k at which the ratio k/A005132(k) sets a new record.

1, 4, 31, 62, 64, 111, 129, 131, 30764, 30766, 30768, 56127, 56167, 56199, 56513, 56515, 56827, 99734, 58055311, 904012796, 904032692, 1610175617, 1610178287, 1610186343, 2789149734, 13808214835, 325374625053, 325374625245

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OFFSET

1,2

COMMENTS

No other terms < 4.61 * 10^11.

LINKS

Table of n, a(n) for n=1..28.

Index entries for sequences related to Recamán's sequence

EXAMPLE

A005132(131) = 4, 131/4 = 32.75, a higher ratio than any smaller term in A005132, so 131 is in the sequence.

MATHEMATICA

Block[{s = MapIndexed[First[#2]/#1 &, Rest@ Nest[Append[#, If[And[#3 > 0, FreeQ[#1, #3]], #3, #1[[-1]] + #2]] & @@ {#, Length@ #, #[[-1]] - Length@ #} &, {0}, 10^5]], t}, t = Union@ FoldList[Max, Rest@ s]; MapAt[# - 1 &, #, 1] &@ Map[FirstPosition[s, #][[1]] &, t]] (* Michael De Vlieger, Jan 01 2020 *)

CROSSREFS

Cf. A005132, A064622, A330789.

Sequence in context: A216302 A070522 A087689 * A374720 A210377 A211629

Adjacent sequences: A330785 A330786 A330787 * A330789 A330790 A330791

KEYWORD

nonn

AUTHOR

Jud McCranie, Dec 31 2019

STATUS

approved