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!)
A085771 Triangle A059438(n,k), 0<=k<=n, with an extra column of zeros. 5
1, 0, 1, 0, 1, 1, 0, 3, 2, 1, 0, 13, 7, 3, 1, 0, 71, 32, 12, 4, 1, 0, 461, 177, 58, 18, 5, 1, 0, 3447, 1142, 327, 92, 25, 6, 1, 0, 29093, 8411, 2109, 531, 135, 33, 7, 1, 0, 273343, 69692, 15366, 3440, 800, 188, 42, 8, 1, 0, 2829325, 642581, 125316, 24892, 5226, 1146, 252, 52, 9, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 262 (#14).

LINKS

Table of n, a(n) for n=0..65.

FindStat - Combinatorial Statistic Finder, The decomposition number of a permutation.

FORMULA

Let f(x) = Sum_{n>=0} n!*x^n, g(x) = 1 - 1/f(x). Then g(x) is g.f. for second diagonal A003319.

Triangle T(n, k) read by rows, given by [0, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] DELTA A000007 where DELTA is Deléham's operator defined in A084938.

G.f.: 1/(1-xy/(1-x/(1-2x/(1-2x/(1-3x/(1-3x/(1-4x/(1-.... (continued fraction). [Paul Barry, Jan 29 2009]

EXAMPLE

Triangle starts:

  1;

  0,  1;

  0,  1, 1;

  0,  3, 2, 1;

  0, 13, 7, 3, 1;

  ...

CROSSREFS

Cf. A003319, A059439, A059440, A055998, A059438.

Cf. A000007, A084938.

T(2n,n) gives A308650.

Sequence in context: A259790 A246654 A325111 * A253286 A284799 A111106

Adjacent sequences:  A085768 A085769 A085770 * A085772 A085773 A085774

KEYWORD

easy,nonn,tabl

AUTHOR

Philippe Deléham, Jul 22 2003

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 15 10:22 EDT 2021. Contains 342977 sequences. (Running on oeis4.)