Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A130303
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A130303 A130296 * A000012. +0
5
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; listen)
OFFSET

1,2

COMMENT

Row sums = a034856: (1, 4, 8, 13, 19,...). A130302 = A000012 * A130296.

Row sums are: {1, 4, 8, 13, 19, 26, 34, 43, 53, 64,...}.

REFERENCES

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

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, A130302.

Sequence in context: A100576 A131032 A130323 this_sequence A100898 A101350 A134867

Adjacent sequences: A130300 A130301 A130302 this_sequence A130304 A130305 A130306

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), May 20 2007

EXTENSIONS

Additional comments from Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Mar 28 2009

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


AT&T Labs Research