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A157401 revision #2

A157401

A partition product of Stirling_2 type [parameter k = 1] with biggest-part statistic (triangle read by rows).

1, 1, 1, 1, 1, 3, 3, 1, 9, 12, 15, 1, 25, 60, 75, 105, 1, 75, 330, 450, 630, 945, 1, 231, 1680, 3675, 4410, 6615, 10395, 1, 763, 9408, 30975, 41160, 52920, 83160, 135135, 1, 2619, 56952, 233415, 489510, 555660, 748440, 1216215

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OFFSET

1,6

COMMENTS

Partition product of prod_{j=0..n-1}((k + 1)*j - 1) and n! at k = 1,

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

Underlying partition triangle is A143171.

Same partition product with length statistic is A001497.

Diagonal a(A000217) = A001147.

Row sum is A001515.

LINKS

Table of n, a(n) for n=1..45.