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A098696 Main diagonal of array in A073146. 1
1, 4, 104, 6544, 765344, 143639104, 39511297664, 14979797833984, 7487442077817344, 4770988535512474624, 3774873839360539879424, 3630982576832133263233024, 4172729918808369709126098944 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Diagonal of Euler-Seidel matrix with start sequence A000670.

LINKS

Table of n, a(n) for n=0..12.

FORMULA

a(n) = Sum_{k=0..n} binomial(n, k) * A000670(2*n-k).

a(n) ~ (2*n)! / (sqrt(2) * (log(2))^(2*n+1)). - Vaclav Kotesovec, May 03 2015

a(n) = Sum_{k>=0} (k*(k + 1))^n/2^(k+1). - Ilya Gutkovskiy, Jun 29 2019

MATHEMATICA

Table[Sum[Binomial[n, k] * Sum[StirlingS2[2*n-k, j]*j!, {j, 0, 2*n-k}], {k, 0, n}], {n, 0, 20}] (* Vaclav Kotesovec, May 03 2015 *)

CROSSREFS

Cf. A000670, A073146.

Sequence in context: A303135 A326284 A302733 * A013054 A024262 A012958

Adjacent sequences:  A098693 A098694 A098695 * A098697 A098698 A098699

KEYWORD

nonn

AUTHOR

Ralf Stephan, Sep 23 2004

EXTENSIONS

Offset corrected by Vaclav Kotesovec, May 03 2015

STATUS

approved

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Last modified February 24 16:40 EST 2020. Contains 332209 sequences. (Running on oeis4.)