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A006644 Indices of records in Landau's function A000793. 1
0, 2, 3, 4, 5, 7, 8, 9, 10, 12, 14, 15, 16, 17, 19, 23, 25, 27, 28, 29, 30, 32, 34, 36, 38, 40, 41, 42, 43, 47, 49, 53, 57, 58, 59, 60, 62, 64, 66, 68, 70, 72, 76, 77, 78, 79, 83, 85, 89, 93, 95, 97, 101, 102, 106, 108, 112, 118, 120, 126, 128, 130, 131, 132 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..3318 from Alois P. Heinz)

J.-L. Nicolas, Ordre maximum d'un élément du groupe de permutations et highly composite numbers, Bull. Math. Soc. France, 97 (1969), 129-191.

MATHEMATICA

b[n_, i_] := b[n, i] = Module[{p}, p = If[i<1, 1, Prime[i]]; If[n == 0 || i<1, 1, Max[b[n, i-1], Table[p^j*b[n-p^j, i-1], {j, 1, Log[p, n] // Floor}]]]]; order[n_] := b[n, If[n<8, 3, PrimePi[Ceiling[1.328*Sqrt[n*Log[n] // Floor]]]]]; Join[{0}, Position[Differences[Array[order, 133, 0]], _?Positive] // Flatten ] (* Jean-François Alcover, Mar 13 2014, after Alois P. Heinz *)

CROSSREFS

Cf. A000793, A002809.

Sequence in context: A082186 A099849 A071163 * A024898 A094210 A165256

Adjacent sequences:  A006641 A006642 A006643 * A006645 A006646 A006647

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 7 16:09 EDT 2020. Contains 335496 sequences. (Running on oeis4.)