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A309242
a(n) is the smallest integer m such that the equality Product_{i=1..n} (x_i + m) = (m+n)!/m! for integers x_1, ..., x_n from N = { 1, 2, ..., n } guarantees that they form a permutation of N.
0
0, 0, 0, 1, 2, 5, 6, 9, 10, 16, 18, 27, 28, 33, 45, 45, 45, 56, 78, 81, 108, 120, 136, 140, 180, 180, 192, 209, 210, 280, 280, 286, 325, 325, 380, 392, 527, 527, 527, 625, 650, 650, 703, 703
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OFFSET
1,5
COMMENTS
a(n) <=
A065048
(n) + 1.
LINKS
Table of n, a(n) for n=1..44.
JPF et al.,
A necessary and sufficient condition for (x_1,...,x_n) to be a permutation of (1,...,n)
. MathOverflow, 2019.
CROSSREFS
Sequence in context:
A213730
A191172
A078632
*
A122701
A032925
A244749
Adjacent sequences:
A309239
A309240
A309241
*
A309243
A309244
A309245
KEYWORD
nonn
,
more
AUTHOR
Max Alekseyev
, Jul 17 2019
STATUS
approved