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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

%I #7 Jan 03 2024 08:29:12

%S 1,1,1,2,4,9,17,48,111,337,979,2985,10088,36967,122579,510005,1997521,

%T 8122685,35165590,164226684,717221715,3521142515,17464573214,

%U 89212733530,444931206696,2538229596916,13768154770823

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

%o (SageMath)

%o 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

%K nonn

%O 1,4

%A _Clark Kimberling_

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Last modified April 15 05:45 EDT 2024. Contains 371667 sequences. (Running on oeis4.)