login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A238956 Degree of divisor lattice in graded colexicographic order. 2

%I #13 Apr 01 2020 20:13:36

%S 0,1,2,2,2,3,3,2,3,4,4,4,2,3,4,4,5,5,5,2,3,4,4,4,5,6,5,6,6,6,2,3,4,4,

%T 4,5,5,6,5,6,7,6,7,7,7,2,3,4,4,4,4,5,5,6,6,5,6,6,7,8,6,7,8,7,8,8,8,2,

%U 3,4,4,4,4,5,5,5,6,6,6,5,6,6,7,7,8,6,7,7,8,9,7,8,9,8,9,9,9

%N Degree of divisor lattice in graded colexicographic order.

%H Andrew Howroyd, <a href="/A238956/b238956.txt">Table of n, a(n) for n = 0..2713</a> (rows 0..20)

%H S.-H. Cha, E. G. DuCasse, and L. V. Quintas, <a href="http://arxiv.org/abs/1405.5283">Graph Invariants Based on the Divides Relation and Ordered by Prime Signatures</a>, arxiv:1405.5283 [math.NT], 2014.

%F T(n,k) = A238949(A036035(n,k)).

%e Triangle T(n,k) begins:

%e 0;

%e 1;

%e 2, 2;

%e 2, 3, 3;

%e 2, 3, 4, 4, 4;

%e 2, 3, 4, 4, 5, 5, 5;

%e 2, 3, 4, 4, 4, 5, 6, 5, 6, 6, 6;

%e ...

%o (PARI)

%o C(sig)={sum(i=1, #sig, if(sig[i]>1, 2, 1))}

%o Row(n)={apply(C, [Vecrev(p) | p<-partitions(n)])}

%o { for(n=0, 8, print(Row(n))) } \\ _Andrew Howroyd_, Apr 01 2020

%Y Cf. A238949 in graded colexicographic order.

%Y Cf. A036035, A238969.

%K nonn,tabf

%O 0,3

%A _Sung-Hyuk Cha_, Mar 07 2014

%E Offset changed and terms a(50) and beyond from _Andrew Howroyd_, Apr 01 2020

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 29 20:04 EDT 2024. Contains 374734 sequences. (Running on oeis4.)