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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..11.

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

Cf. A002109, A047656, A086331, A086619, A294352.

Sequence in context: A015184 A012002 A012005 * A156172 A013036 A075044

Adjacent sequences:  A294350 A294351 A294352 * A294354 A294355 A294356

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Oct 29 2017

STATUS

approved

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Last modified March 25 12:50 EDT 2019. Contains 321470 sequences. (Running on oeis4.)