

A309237


Records in the indices of largest unsigned Stirling number of first kind: a(n) = smallest m such that c(m,n) = max_{k=0,1...,m} c(m,k).


2



0, 1, 2, 8, 25, 73, 204, 565, 1557, 4275, 11710, 32022, 87464, 238692
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OFFSET

0,3


COMMENTS

Smallest m such that A065048(m1) = c(m,n).
For k in the interval [a(n),a(n+1)1], A065048(k1) = c(k,n).
Ratio a(n+1)/a(n) seems to decrease and tend to exp(1) as n grows.


LINKS

Table of n, a(n) for n=0..13.


EXAMPLE

n=2 is a value for index k delivering the maximum value of c(m,k) for each fixed m in the interval [a(2),a(3)1] = [2,7]. Then, for m in [a(3),a(4)1] = [8,24], the maximum is given by c(m,3), and so on.


PROG

(PARI) { A309237(n) = my(t=prod(i=1, n1, x+i+O(x^n)), m=n); while( polcoef(t, n1)polcoef(t, n2) < 0, t*=x+m; m++); m; }


CROSSREFS

Cf. A000254, A000399, A008275, A065048.
Sequence in context: A301819 A119854 A176855 * A037560 A138804 A212323
Adjacent sequences: A309234 A309235 A309236 * A309238 A309239 A309240


KEYWORD

nonn,more


AUTHOR

Max Alekseyev, Jul 17 2019


STATUS

approved



