OFFSET
0,5
LINKS
Peter Luschny, The P-transform.
FORMULA
EXAMPLE
[1]
[0, 1]
[0, 4, 3]
[0, 15, 60, 15]
[0, 56, 700, 840, 105]
[0, 210, 6720, 22050, 12600, 945]
[0, 792, 58905, 421960, 623700, 207900, 10395]
[0, 3003, 492492, 6831825, 20740720, 17342325, 3783780, 135135]
MAPLE
PROG
(Sage)
A268439 = lambda n, k: binomial(2*n, n+k)*sum((-1)^(m+k)*binomial(n+k, n+m)* stirling_number2(n+m, m) for m in (0..k))
for n in (0..7): print([A268439(n, m) for m in (0..n)])
(Sage) # uses[PtransMatrix from A269941]
# Alternatively
PtransMatrix(8, lambda n: 1/(n+1), lambda n, k: (-1)^k*factorial(2*n)/ (factorial(k)*factorial(n-k)))
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Mar 08 2016
STATUS
approved