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A266000 Numbers n such that the symmetric representation of sigma(n) has at least two parts of distinct size. 1

%I #26 Jan 02 2016 04:33:12

%S 9,21,25,27,33,35,39,45,49,50,51,55,57,63,65,69,70,75,77,81,85,87,91,

%T 93,95,98,99,105,110,111,115,117,119,121,123,125

%N Numbers n such that the symmetric representation of sigma(n) has at least two parts of distinct size.

%C In other words: numbers n such that the symmetric representation of sigma(n) has at least two parts with distinct number of cells.

%C For more information about the symmetric representation of sigma see A237270 and A237593.

%e The symmetric representation of sigma(9) = 13 in the first quadrant looks like this:

%e y

%e .

%e ._ _ _ _ _ 5

%e |_ _ _ _ _|

%e . |_ _ 3

%e . |_ |

%e . |_|_ _ 5

%e . | |

%e . | |

%e . | |

%e . | |

%e . . . . . . . . |_| . . x

%e .

%e There are three parts: 5 + 3 + 5 = 13, so 9 is in the sequence because the structure contains at least two parts of distinct size.

%Y Complement of A265999.

%Y Cf. A000203, A196020, A235791, A236104, A237270, A237271, A237591, A237593, A239660, A239931-A239934, A245092, A262626.

%K nonn,more

%O 1,1

%A _Omar E. Pol_, Dec 19 2015

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Last modified April 30 12:47 EDT 2024. Contains 372134 sequences. (Running on oeis4.)