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A369701
AGM transform of the numbers of partitions (A000041) of the positive numbers.
1
0, 1, 54, 6961, 1233318, 487047961, 290742044714, 347251334512896, 683674076661539256, 2495297738110474036224, 14634026423059969492022144, 156866160296614402006202168641, 2612384850652790986902453089127552, 74149419491027435547521058057290511849, 3283295561194682488327071117265547706288707
OFFSET
1,3
COMMENTS
See A368366 for the description of the AGM transform.
LINKS
FORMULA
a(n) = A026905(n)^n - A000312(n)*A058694(n).
MATHEMATICA
A369701[n_] := With[{p = PartitionsP[Range[n]]}, Total[p]^n - n^n*Apply[Times, p]];
Array[A369701, 15]
CROSSREFS
KEYWORD
nonn
AUTHOR
Paolo Xausa, Jan 29 2024
STATUS
approved