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A103360 Denominator of coefficient in the interpolation polynomial for initial values of the factorial, read by row. 4
1, 1, 1, 2, 2, 1, 3, 2, 6, 1, 8, 12, 8, 12, 1, 30, 24, 12, 24, 60, 1, 144, 240, 144, 48, 36, 20, 1, 280, 720, 240, 144, 240, 180, 140, 1, 5760, 10080, 960, 180, 640, 1440, 1440, 280, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

N(n,n)/D(n,n) = Sum{k=0..n}(-1)^k/k! = A000166/n! = A053557/A053556, where N(n,n) is A103361.

LINKS

Table of n, a(n) for n=0..44.

FORMULA

D(n, k) in Sum{k=0..n}N(n, k)/D(n, k)*m^k=m!, m=0..n, with reduced fraction N(n, k)/D(n, k) and N(n, k) is A103361. D(n, k)=a(n*(n+3)/2-k).

EXAMPLE

1; 1; 1/2*x^2-1/2*x+1; 1/3*x^3-1/2*x^2+1/6*x+1;

3/8*x^4-23/12*x^3+29/8*x^2-25/12*x+1;

11/30*x^5-79/24*x^4+131/12*x^3-353/24*x^2+403/60*x+1

CROSSREFS

Cf. A103361, A000166, A053556, A053557.

Sequence in context: A262985 A296786 A145141 * A267409 A104469 A144112

Adjacent sequences:  A103357 A103358 A103359 * A103361 A103362 A103363

KEYWORD

easy,frac,nonn,tabl

AUTHOR

Nikolaus Meyberg (Nikolaus.Meyberg(AT)t-online.de), Feb 02 2005

STATUS

approved

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Last modified April 19 20:51 EDT 2019. Contains 322291 sequences. (Running on oeis4.)