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A349404
The maximal coefficient in the expansion of x_1(x_1 + x_2)...(x_1 + x_2 + ... + x_n).
0
1, 1, 1, 2, 4, 9, 27, 96, 384, 1536, 7500, 37500, 194400, 1166400, 7563150, 52942050, 385351680, 3082813440, 24998984640, 224990861760, 2024917755840, 19051200000000, 190512000000000, 1944663768432000, 21391301452752000
OFFSET
0,4
MATHEMATICA
Max/@Table[Values@CoefficientRules[Times@@Array[Total@Array[x, #]&, n]], {n, 0, 12}] (* Giorgos Kalogeropoulos, Nov 16 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Sela Fried, Nov 16 2021
STATUS
approved