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Search: id:A027467
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| A027467 |
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Triangle whose (n,k)-th entry is binomial(n,k)*15^(n-k). |
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6
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| 1, 15, 1, 225, 30, 1, 3375, 675, 45, 1, 50625, 13500, 1350, 60, 1, 759375, 253125, 33750, 2250, 75, 1, 11390625, 4556250, 759375, 67500, 3375, 90, 1, 170859375, 79734375, 15946875, 1771875, 118125, 4725, 105, 1, 2562890625, 1366875000
(list; table; graph; listen)
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OFFSET
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0,2
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FORMULA
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Numerators of lower triangle of (a[ i, j ])^4 where a[ i, j ] = Binomial(i-1, j-1)/2^(i-1) if j<=i, 0 if j>i
Sum_{k, 0<=k<=n}T(n,k)*x^k=(15+x)^n.
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CROSSREFS
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Cf. A007318.
Sequence in context: A131514 A049327 A030527 this_sequence A049375 A049224 A027448
Adjacent sequences: A027464 A027465 A027466 this_sequence A027468 A027469 A027470
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KEYWORD
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nonn,tabl
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AUTHOR
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Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
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Simpler definition. - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 10 2008
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