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A178046 Triangle t(n, m) = 2*binomial(n,m)^2 -A008292(n+1,m+1)^2 read by rows. 0
1, 1, 1, 1, -8, 1, 1, -103, -103, 1, 1, -644, -4284, -644, 1, 1, -3199, -91004, -91004, -3199, 1, 1, -14328, -1418031, -5836256, -1418031, -14328, 1, 1, -60911, -18428967, -243950711, -243950711, -18428967, -60911, 1, 1, -251876 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are A028329(n) - A168562(n+1). - R. J. Mathar, Nov 05 2012

LINKS

Table of n, a(n) for n=0..37.

EXAMPLE

1;

1, 1;

1, -8, 1;

1, -103, -103, 1;

1, -644, -4284, -644, 1;

1, -3199, -91004, -91004, -3199, 1;

1, -14328, -1418031, -5836256, -1418031, -14328, 1;

1, -60911, -18428967, -243950711, -243950711, -18428967, -60911, 1;

1, -251876, -213392096, -7785232484, -24395306300, -7785232484, -213392096, -251876, 1;

MATHEMATICA

<< DiscreteMath`Combinatorica`

t[n_, m_] = 2*Binomial[n, m]^2 - Eulerian[n + 1, m]^2;

Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];

Flatten[%]

CROSSREFS

Cf. A177823, A008459, A141686, A008292

Sequence in context: A174728 A015121 A156766 * A176340 A111835 A254460

Adjacent sequences:  A178043 A178044 A178045 * A178047 A178048 A178049

KEYWORD

sign,tabl

AUTHOR

Roger L. Bagula, May 18 2010

STATUS

approved

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Last modified March 3 02:52 EST 2021. Contains 341756 sequences. (Running on oeis4.)