A157385 - OEIS

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A157385

A partition product of Stirling_1 type [parameter k = -5] with biggest-part statistic (triangle read by rows).

1, 1, 5, 1, 15, 30, 1, 105, 120, 210, 1, 425, 1800, 1050, 1680, 1, 3075, 18600, 18900, 10080, 15120, 1, 15855, 174300, 338100, 211680, 105840, 151200, 1, 123515, 2227680, 4865700, 4327680, 2540160, 1209600, 1663200, 1, 757755

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OFFSET

1,3

COMMENTS

Partition product of prod_{j=0..n-2}(k-n+j+2) and n! at k = -5,

summed over parts with equal biggest part (see the Luschny link).

Underlying partition triangle is A144355.

Same partition product with length statistic is A049353.

Diagonal a(A000217(n)) = rising_factorial(5,n-1), A001720(n+3).

Row sum is A049378.

LINKS

Table of n, a(n) for n=1..38.