login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A104707 Triangle read by rows distributing the 1602 multinomials described by A005651(6) related to Young tableau and Kostka numbers. 3
1, 25, 1, 81, 20, 1, 25, 54, 15, 1, 100, 15, 36, 15, 1, 256, 60, 10, 27, 10, 1, 25, 128, 30, 5, 27, 10, 1, 100, 10, 64, 30, 5, 18, 10, 1, 81, 40, 5, 32, 10, 5, 9, 5, 1, 25, 27, 10, 0, 32, 10, 0, 9, 5, 1, 1, 5, 9, 10, 5, 16, 10, 5, 9, 5, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The last row (and the square roots of the first column) is 1 5 9 5 10 16 5 10 9 5 1, which when sorted appears as 1 1 5 5 5 5 9 9 10 10 16 in A003870 and A060240. The 1602 cases are distributed in A036038: 1 6 15 20 30 60 90 120 180 360 720.

REFERENCES

D. Stanton and D. White, Constructive Combinatorics, 1986, page 83.

LINKS

Table of n, a(n) for n=1..66.

EXAMPLE

The triangle is:

1;

25,   1;

81,  20,  1;

25,  54, 15,  1;

100, 15, 36, 15,  1;

256, 60, 10, 27, 10,  1;

25, 128, 30,  5, 27, 10,  1;

100, 10, 64, 30,  5, 18, 10, 1;

81,  40,  5, 32, 10,  5,  9, 5, 1;

25,  27, 10,  0, 32, 10,  0, 9, 5, 1;

1,    5,  9, 10,  5, 16, 10, 5, 9, 5, 1;

CROSSREFS

Cf. A000041, A000085, A000142, A003870, A060240, A005651, A036038 and A097522 (a similar triangle distributing the 246 multinomials in A005651(5)).

Cf. A104778.

Sequence in context: A272129 A232989 A040649 * A040618 A040619 A040617

Adjacent sequences:  A104704 A104705 A104706 * A104708 A104709 A104710

KEYWORD

fini,full,nonn,tabl

AUTHOR

Alford Arnold, Mar 19 2005

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 20 09:21 EDT 2021. Contains 343125 sequences. (Running on oeis4.)