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A027479
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4th power of the lower triangular normalized first kind Stirling matrix.
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5
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1, 15, 1, 1175, 120, 1, 294330, 36935, 510, 1, 181082204, 25816200, 460035, 1560, 1, 231844265940, 36133755364, 757122975, 3411835, 3885, 1, 551220029003580, 91850446178400, 2159098539409, 11690792400, 18037810, 8400, 1
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OFFSET
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1,2
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LINKS
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Table of n, a(n) for n=1..28.
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FORMULA
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Numerators of lower triangle of (a[ i, j ])^4 where a[ i, j ] = s(i, j)/i! if j<=i, 0 if j>i
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MATHEMATICA
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rows = 7; m = Table[If[k <= n, StirlingS1[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}] // Abs // Flatten (* Jean-François Alcover, Mar 05 2013 *)
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CROSSREFS
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Sequence in context: A027448 A027518 A027539 * A027497 A040221 A040220
Adjacent sequences: A027476 A027477 A027478 * A027480 A027481 A027482
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KEYWORD
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nonn,tabl
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AUTHOR
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Olivier Gérard
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STATUS
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approved
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