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A202184 Triangle T(n,m) = coefficient of x^n in expansion of x^m*(x+1)^(m*x^2) = sum(n>=m, T(n,m) x^n*m!/n!). 0
1, 0, 1, 0, 0, 1, 24, 0, 0, 1, -60, 120, 0, 0, 1, 240, -360, 360, 0, 0, 1, 1260, 1680, -1260, 840, 0, 0, 1, -12096, 30240, 6720, -3360, 1680, 0, 0, 1, 105840, -290304, 226800, 20160, -7560, 3024, 0, 0, 1, -388800, 2721600, -2358720, 1058400, 50400, -15120 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,7

COMMENTS

1

LINKS

Table of n, a(n) for n=1..51.

FORMULA

T(n,m):=n!/m!*sum(k=0..(n-m)/2, (m^k*stirling1(n-m-2*k,k))/(n-m-2*k)!).

EXAMPLE

1,

0, 1,

0, 0, 1,

24, 0, 0, 1,

-60, 120, 0, 0, 1,

240, -360, 360, 0, 0, 1,

1260, 1680, -1260, 840, 0, 0, 1

PROG

(Maxima)

T(n, m):=n!/m!*sum((m^k*stirling1(n-m-2*k, k))/(n-m-2*k)!, k, 0, (n-m)/2);

CROSSREFS

Sequence in context: A140793 A023923 A267334 * A075406 A075404 A308234

Adjacent sequences:  A202181 A202182 A202183 * A202185 A202186 A202187

KEYWORD

sign,tabl

AUTHOR

Vladimir Kruchinin, Dec 13 2011

STATUS

approved

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Last modified June 6 14:04 EDT 2020. Contains 334827 sequences. (Running on oeis4.)