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!)
A330350 Table of strictly decreasing sequences with terms in {0, ..., 9}, sorted by length, then lexicographically. 1

%I #19 Dec 11 2019 22:25:13

%S 0,1,2,3,4,5,6,7,8,9,1,0,2,0,2,1,3,0,3,1,3,2,4,0,4,1,4,2,4,3,5,0,5,1,

%T 5,2,5,3,5,4,6,0,6,1,6,2,6,3,6,4,6,5,7,0,7,1,7,2,7,3,7,4,7,5,7,6,8,0,

%U 8,1,8,2,8,3,8,4,8,5,8,6,8,7,9,0,9,1,9,2,9,3,9,4,9,5,9,6,9,7,9,8

%N Table of strictly decreasing sequences with terms in {0, ..., 9}, sorted by length, then lexicographically.

%C Row n lists the digits of A009995(n), just as row n < 1024 of A272011 lists the digits of A262557(n).

%H M. F. Hasler, <a href="/A330350/b330350.txt">Table of n, a(n) for n = 1..5120</a> (rows 1 .. 1023, flattened).

%H B. Sury, <a href="http://www.jstor.org/stable/10.4169/amer.math.monthly.121.04.359">Macaulay Expansion</a>, Amer. Math. Monthly 121 (2014), no. 4, 359--360. MR3183022.

%e The first rows start

%e n | row n

%e 1 | 0,

%e 2 | 1,

%e ...

%e 10 | 9,

%e 11 | 1, 0,

%e 12 | 2, 0,

%e 13 | 2, 1,

%e 14 | 3, 0,

%e 15 | 3, 1,

%e 16 | 3, 2,

%e 17 | 4, 0,

%e ...

%e The Sury paper lists the first rows of length 3, row 56 = (2, 1, 0), row 57 = (3, 1, 0), row 58 = (3, 2, 0), row 59 = (3, 2, 1), row 60 = (4, 1, 0), ...

%o (PARI) concat(0,[digits(n)|n<-[1..99],is_A009995(n)])

%Y Cf. A009995, A272011, A262557.

%K nonn,fini,full

%O 1,3

%A _M. F. Hasler_, Dec 11 2019

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 April 23 10:29 EDT 2024. Contains 371905 sequences. (Running on oeis4.)