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A098436 Triangle of 3rd central factorial numbers T(n,k). 2
1, 1, 1, 1, 9, 1, 1, 73, 36, 1, 1, 585, 1045, 100, 1, 1, 4681, 28800, 7445, 225, 1, 1, 37449, 782281, 505280, 35570, 441, 1, 1, 299593, 21159036, 33120201, 4951530, 130826, 784, 1, 1, 2396745, 571593565, 2140851900, 652061451, 33209946 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..41.

M. Domaratzki, A Generalization of the Genocchi Numbers with Applications to ...

John Riordan, Letter, Apr 28 1976.

FORMULA

Recurrence: T(n, k) = k^3*T(n-1, k) + T(n-1, k-1), T(0, 0)=1.

EXAMPLE

{1} {1,1} {1,9,1} {1,73,36,1} {1,585,1045,100,1}...

CROSSREFS

First column is A023001, first diagonal is A000537.

Row sums are in A098437.

Replace in recurrence k^3 with k: A008277; with k^2: A008957.

Sequence in context: A156278 A166961 A202988 * A022172 A173005 A015123

Adjacent sequences:  A098433 A098434 A098435 * A098437 A098438 A098439

KEYWORD

tabl,nonn

AUTHOR

Ralf Stephan, Sep 08 2004

STATUS

approved

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Last modified April 19 09:19 EDT 2019. Contains 322241 sequences. (Running on oeis4.)