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A234324 Central terms of the triangle of central factorial numbers (A008955). 2
1, 5, 273, 44473, 14739153, 8261931405, 7026231453265, 8439654758970225, 13611213226804376865, 28383081191068916580565, 74326386672885754888959569, 238812235698229573137588936105, 923793013650701305781038113833585, 4235104161629281000608041716747118685 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) = A008955(2*n,n).

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..120

FORMULA

a(n) ~ c * d^n * n!^2 / n^(3/2), where d = 30.472614208903344955058219429421999299236787591960717... and c = 0.27436634881777520262458169083560234658... - Vaclav Kotesovec, Aug 28 2017

MATHEMATICA

Flatten[{1, Table[Coefficient[Expand[Product[1 + k^2*x, {k, 0, 2*n}]], x^n], {n, 1, 15}]}] (* Vaclav Kotesovec, Aug 28 2017 *)

Table[Sum[(-1)^(n-j) * StirlingS1[2*n+1, 2*n+1-j] * StirlingS1[2*n+1, j+1], {j, 0, 2*n}], {n, 0, 15}] (* Vaclav Kotesovec, Aug 28 2017 *)

PROG

(Haskell)

a234324 n = a008955 (2 * n) n

CROSSREFS

Cf. A008955, A129505.

Sequence in context: A283518 A153322 A326321 * A066210 A036213 A262548

Adjacent sequences:  A234321 A234322 A234323 * A234325 A234326 A234327

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Dec 24 2013

STATUS

approved

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Last modified September 29 07:08 EDT 2020. Contains 337425 sequences. (Running on oeis4.)