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A114188
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Riordan array (1/(1-x),x(1+x)/(1-x)^2).
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2
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1, 1, 1, 1, 4, 1, 1, 9, 7, 1, 1, 16, 26, 10, 1, 1, 25, 70, 52, 13, 1, 1, 36, 155, 190, 87, 16, 1, 1, 49, 301, 553, 403, 131, 19, 1, 1, 64, 532, 1372, 1462, 736, 184, 22, 1, 1, 81, 876, 3024, 4446, 3206, 1216, 246, 25, 1, 1, 100, 1365, 6084, 11826, 11584, 6190, 1870, 317
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,5
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COMMENTS
| Product of A007318 and A113953, that is, (1/(1-x),x/(1-x))*(1,x(1+2x)). Row sums are A025192. Diagonal sums are A052980. Inverse is A114189. A signed version is A110511.
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FORMULA
| T(n, k)=sum{j=0..n, C(n, j)C(k, j-k)2^(j-k)}; T(n, k)=sum{j=0..n-k, C(k, j)C(n+k-j, 2k)}.
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EXAMPLE
| Triangle begins
1;
1, 1;
1, 4, 1;
1, 9, 7, 1;
1, 16, 26, 10, 1;
1, 25, 70, 52, 13, 1;
1, 36,155,190, 87, 16, 1;
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CROSSREFS
| Sequence in context: A136100 A183153 A141905 * A110511 A082950 A060102
Adjacent sequences: A114185 A114186 A114187 * A114189 A114190 A114191
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Nov 16 2005
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