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A027539 4th power of the lower triangular normalized Eulerian number matrix. 5
1, 15, 1, 1135, 160, 1, 270505, 60335, 935, 1, 156871831, 49140396, 1343716, 4056, 1, 188025705967, 77463625233, 3230526398, 18687638, 14763, 1, 416173882222435, 216288860370444, 12659193075915, 119153175100 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..25.

FORMULA

Numerators of lower triangle of (a[ i, j ])^4 where a[ i, j ] = A(i, j)/i! if j<=i, 0 if j>i

MATHEMATICA

rows = 7; t[n_, k_] := Sum[(-1)^j*(k - j)^n*Binomial[n + 1, j], {j, 0, k}]; m = Table[If[k <= n, t[n, k]/n!, 0], {n, 1, rows}, {k, 1, rows}]; m4 = m.m.m.m; Table[fracs = m4[[i]]; nums = fracs // Numerator;   dens = fracs // Denominator; lcm = LCM @@ dens; Table[ nums[[j]]*lcm/dens[[j]], {j, 1, i}], {i, 1, rows}] // Flatten (* Jean-François Alcover, Mar 05 2013 *)

CROSSREFS

Cf. A008292.

Sequence in context: A223517 A027448 A027518 * A027479 A027497 A040221

Adjacent sequences:  A027536 A027537 A027538 * A027540 A027541 A027542

KEYWORD

nonn,tabl

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified August 24 22:41 EDT 2019. Contains 326314 sequences. (Running on oeis4.)