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!)
A130303 A130296 * A000012. 4
1, 3, 1, 5, 2, 1, 7, 3, 2, 1, 9, 4, 3, 2, 1, 11, 5, 4, 3, 2, 1, 13, 6, 5, 4, 3, 2, 1, 15, 7, 6, 5, 4, 3, 2, 1, 17, 8, 7, 6, 5, 4, 3, 2, 1, 19, 9, 8, 7, 6, 5, 4, 3, 2, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

REFERENCES

H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, pp 159-162

LINKS

Table of n, a(n) for n=1..55.

FORMULA

A130296 * A000012 as infinite lower triangular matrices. (1,3,5,...) as the left border; (1,2,3,...) in all other columns.

e(n,k)= (e(n - 1, k)*e(n, k - 1) + 1)/e(n - 1, k - 1)

EXAMPLE

1;

3, 1;

5, 2, 1;

7, 3, 2, 1;

9, 4, 3, 2, 1;

11, 5, 4, 3, 2, 1;

13, 6, 5, 4, 3, 2, 1;

15, 7, 6, 5, 4, 3, 2, 1;

17, 8, 7, 6, 5, 4, 3, 2, 1;

19, 9, 8, 7, 6, 5, 4, 3, 2, 1;

MATHEMATICA

Clear[e, n, k];

e[n_, 0] := 2*n - 1;

e[n_, k_] := 0 /; k >= n;

e[n_, k_] := (e[n - 1, k]*e[n, k - 1] + 1)/e[n - 1, k - 1];

Table[Table[e[n, k], {k, 0, n - 1}], {n, 1, 10}];

Flatten[%]

CROSSREFS

Cf. A130296, A000012, A034856 (row sums), A130302 (commuted matrix product)

Sequence in context: A212332 A131032 A130323 * A100898 A101350 A199478

Adjacent sequences:  A130300 A130301 A130302 * A130304 A130305 A130306

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 20 2007

EXTENSIONS

Additional comments from Roger L. Bagula and Gary W. Adamson, Mar 28 2009

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 August 8 19:29 EDT 2020. Contains 336298 sequences. (Running on oeis4.)