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A104417 Triangle, read by rows, equal to the matrix inverse of A104416, where A104416(n,k) = A008275(k+1,n-k+1) (Stirling numbers of the first kind). 1
1, 1, 1, 3, 3, 1, 16, 16, 6, 1, 127, 127, 49, 10, 1, 1363, 1363, 531, 115, 15, 1, 18628, 18628, 7286, 1615, 230, 21, 1, 311250, 311250, 121964, 27321, 4040, 413, 28, 1, 6173791, 6173791, 2421471, 545311, 82131, 8841, 686, 36, 1, 142190703, 142190703 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

Column 0 and column 1 contain A082161.

LINKS

Table of n, a(n) for n=0..46.

EXAMPLE

Column 0 forms A082161 that satisfies:

1 = (1-x) + 1*x*(1-x)(1-2x) + 3*x^2*(1-x)(1-2x)(1-3x) +

+ 16*x^3*(1-x)(1-2x)(1-3x)(1-4x) + ...

+ A082161(n+1)*x^n*(1-x)(1-2x)(1-3x)*..*(1-(n+1)*x) + ...

this g.f. can be derived from the matrix inverse, A104416.

Rows begin:

1;

1,1;

3,3,1;

16,16,6,1;

127,127,49,10,1;

1363,1363,531,115,15,1;

18628,18628,7286,1615,230,21,1;

311250,311250,121964,27321,4040,413,28,1; ...

PROG

(PARI)

CROSSREFS

Cf. A104416, A082161.

Sequence in context: A239895 A106210 A033842 * A121438 A108391 A111840

Adjacent sequences:  A104414 A104415 A104416 * A104418 A104419 A104420

KEYWORD

nonn,tabl

AUTHOR

Paul D. Hanna, Mar 06 2005

STATUS

approved

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Last modified May 6 06:00 EDT 2021. Contains 343580 sequences. (Running on oeis4.)