[seqfan] Re: Guess the Recurrence

[Douglas McNeil]

> Can we guess the middle ones?

Aren't they clearly Stirling numbers?  By "clearly" I don't mean I
recognized them, I mean I entered them into the OEIS and that's what
popped up. ;^)

sage: for i in range(1, 7): print [stirling_number1(j,
j-i)*(-1)**(i+1) for j in range(2, 8)]
[1, 3, 6, 10, 15, 21]
[0, -2, -11, -35, -85, -175]
[0, 0, 6, 50, 225, 735]
[0, 0, 0, -24, -274, -1624]
[0, 0, 0, 0, 120, 1764]
[0, 0, 0, 0, 0, -720]


Doug

-- 
Department of Earth Sciences
University of Hong Kong