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A323538 a(n) = Product_{k=1..n} (binomial(k-1,8) + binomial(n-k,8)). 2
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 676788847291127500630565286687890625, 224202413239751513418389758669186941328125000, 81789054189516490351294844356948943677175390625000000, 29455964980491136378751203264203423123185624125549245000000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,17

LINKS

Table of n, a(n) for n=0..19.

FORMULA

a(n) ~ exp(-8*n + (2*sqrt(2+sqrt(2)) - 1/2 - sqrt(2))*Pi*(n-8)) * n^(8*n) / (8!)^n.

MATHEMATICA

Table[Product[Binomial[k-1, 8] + Binomial[n-k, 8], {k, 1, n}], {n, 0, 20}]

PROG

(PARI) a(n) = prod(k=1, n, binomial(k-1, 8)+binomial(n-k, 8)) \\ Felix Fröhlich, Jan 17 2019

CROSSREFS

Cf. A000581, A323425, A323496, A323497, A323533, A323534, A323535.

Sequence in context: A095464 A255360 A072288 * A003854 A003847 A095466

Adjacent sequences:  A323535 A323536 A323537 * A323539 A323540 A323541

KEYWORD

nonn

AUTHOR

Vaclav Kotesovec, Jan 17 2019

STATUS

approved

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Last modified April 22 10:36 EDT 2019. Contains 322330 sequences. (Running on oeis4.)