OFFSET
0,2
COMMENTS
The corresponding numerator table is given in A131440.
LINKS
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy].
M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, Tenth Printing, 1972, p. 775, 22.3.9.
Wolfdieter Lang, Rational coefficients and more
FORMULA
a(n,m) = denom(L(1/2,n,m)) with L(1/2,n,m)=((-1)^m)*binomial(n+1/2,n-m)/m!, n>=m>=0, else 0 (taken in lowest terms).
EXAMPLE
Triangle begins:
1;
2, 1;
8, 2, 2;
16, 8, 4, 6;
128, 16, 16, 4, 24;
256, 128, 32, 16, 48, 120;
...
PROG
(Python)
from sympy import binomial, factorial, Integer
def a(n, m): return ((-1)**m * binomial(n + 1/Integer(2), n -m) / factorial(m)).denominator()
for n in range(21): print([a(n, m) for m in range(n + 1)]) # Indranil Ghosh, Jun 29 2017
CROSSREFS
KEYWORD
AUTHOR
Wolfdieter Lang, Jul 13 2007
STATUS
approved