

A050944


Four consecutive integers with decreasing values of sigma start at these numbers; i.e., sigma(x) > sigma(x+1) > sigma(x+2) > sigma(x+3).


1



44, 104, 116, 164, 224, 272, 296, 344, 356, 464, 512, 560, 584, 620, 704, 776, 824, 836, 860, 884, 1004, 1112, 1184, 1196, 1280, 1304, 1424, 1484, 1520, 1544, 1592, 1616, 1700, 1724, 1880, 1904, 1952, 1964, 2024, 2036, 2120, 2144, 2276, 2324, 2372
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OFFSET

1,1


REFERENCES

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, entry 44.


LINKS

Table of n, a(n) for n=1..45.


EXAMPLE

sigma(44)=84 > sigma(45)=78 > sigma(46)=72 > sigma(47)=48.


MATHEMATICA

Position[Partition[DivisorSigma[1, Range[2500]], 4, 1], _?(Max[ Differences[ #]]<0&), 1, Heads>False]//Flatten (* Harvey P. Dale, Sep 13 2020 *)


CROSSREFS

Cf. A050945.
Sequence in context: A129289 A039527 A253391 * A332590 A187933 A118483
Adjacent sequences: A050941 A050942 A050943 * A050945 A050946 A050947


KEYWORD

nonn


AUTHOR

Jud McCranie, Jan 02 2000


STATUS

approved



