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A131117 Where record values of A003415 occur. 4
0, 2, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 640, 768, 960, 1024, 1280, 1536, 1920, 2048, 2560, 3072, 3584, 3840, 4096, 5120, 6144, 7168, 7680, 8192, 10240, 12288, 14336, 15360, 16384, 20480, 24576, 28672, 30720, 32768, 40960 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

A131116(n) = A003415(a(n)) and A003415(m) < A131116(n) for m<a(n);

A000079 is a subsequence except 2^0 = 1 (as offset of A003415 is 0).

LINKS

Reinhard Zumkeller and Donovan Johnson, Table of n, a(n) for n = 1..250 (first 100 terms from Reinhard Zumkeller)

MAPLE

with(numtheory);

A131117:=proc(i)

local a, b, n, p, pfs;

b:=-1;

for n from 0 to i do

  pfs:=ifactors(n)[2]; a:=n*add(op(2, p)/op(1, p), p=pfs);

  if a>b then b:=a; print(n); fi;

od; end:  # Paolo P. Lava, Sep 28 2012

CROSSREFS

Cf. A000079, A003415, A131116.

Sequence in context: A115746 A025610 A242101 * A181821 A241882 A238626

Adjacent sequences:  A131114 A131115 A131116 * A131118 A131119 A131120

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jun 17 2007

STATUS

approved

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Last modified November 12 22:16 EST 2019. Contains 329079 sequences. (Running on oeis4.)