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A294353
Product of first n terms of the binomial transform of n^n (A086331).
2
1, 2, 14, 602, 236586, 1116922506, 78020387811618, 95634036502805444826, 2378081951650318040462277306, 1361239109900199746154166909875717978, 20062823024247092576000017563809908231829439138, 8420023655209092490508999978430595224656730339006712229850
OFFSET
0,2
FORMULA
a(n) ~ c * n^(n*(n+1)/2 + 1/12 + exp(-1)/2) / exp(n^2/4 - n*exp(-1)), where c = 1.981849007720509372587479129359338230641860983165241915197508762536...
MATHEMATICA
Table[Product[1 + Sum[Binomial[m, k]*k^k, {k, 1, m}], {m, 0, n}], {n, 0, 12}]
CROSSREFS
KEYWORD
nonn
AUTHOR
Vaclav Kotesovec, Oct 29 2017
STATUS
approved