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Search: id:A104417
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| A104417 |
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Triangle, read by rows, equal to the matrix inverse of A104416, where A104416(n,k) = A008275(k+1,n-k+1) (Stirling numbers of the first kind). |
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+0
2
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| 1, 1, 1, 3, 3, 1, 16, 16, 6, 1, 127, 127, 49, 10, 1, 1363, 1363, 531, 115, 15, 1, 18628, 18628, 7286, 1615, 230, 21, 1, 311250, 311250, 121964, 27321, 4040, 413, 28, 1, 6173791, 6173791, 2421471, 545311, 82131, 8841, 686, 36, 1, 142190703, 142190703
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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Column 0 and column 1 contain A082161.
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EXAMPLE
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Column 0 forms A082161 that satisfies:
1 = (1-x) + 1*x*(1-x)(1-2x) + 3*x^2*(1-x)(1-2x)(1-3x) +
+ 16*x^3*(1-x)(1-2x)(1-3x)(1-4x) + ...
+ A082161(n+1)*x^n*(1-x)(1-2x)(1-3x)*..*(1-(n+1)*x) + ...
this g.f. can be derived from the matrix inverse, A104416.
Rows begin:
1;
1,1;
3,3,1;
16,16,6,1;
127,127,49,10,1;
1363,1363,531,115,15,1;
18628,18628,7286,1615,230,21,1;
311250,311250,121964,27321,4040,413,28,1; ...
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PROGRAM
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(PARI)
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CROSSREFS
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Cf. A104416, A082161.
Adjacent sequences: A104414 A104415 A104416 this_sequence A104418 A104419 A104420
Sequence in context: A105599 A106210 A033842 this_sequence A121438 A108391 A111840
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Mar 06 2005
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