A024425 [ max{S(n,m)}/max{C(n-1,m-1)} ] for m = 1,2,...,n; S(n,m) are Stirling numbers of second kind.

1, 1, 1, 2, 4, 9, 17, 48, 111, 337, 979, 2985, 10088, 36967, 122579, 510005, 1997521, 8122685, 35165590, 164226684, 717221715, 3521142515, 17464573214, 89212733530, 444931206696, 2538229596916, 13768154770823

Offset

1,4

Links

Table of n, a(n) for n=1..27.

Prog

(SageMath)
print([max(stirling_number2(n, m) for m in range(1, n+1))//max(binomial(n-1, m-1) for m in range(1, n+1)) for n in range(1, 28)]) # Andrey Zabolotskiy, Jan 03 2024

Crossrefs

Sequence in context: A049961 A321736 A283315 * A034685 A046683 A065055

Adjacent sequences: A024422 A024423 A024424 * A024426 A024427 A024428

Keyword

nonn

Author

Clark Kimberling

Status

approved