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A154948 revision #6

A154948 Riordan array ((1+x)/(1-x^2)^2, x(1+x)/(1-x)). 4
1, 1, 1, 2, 3, 1, 2, 6, 5, 1, 3, 10, 14, 7, 1, 3, 15, 30, 26, 9, 1, 4, 21, 55, 70, 42, 11, 1, 4, 28, 91, 155, 138, 62, 13, 1, 5, 36, 140, 301, 363, 242, 86, 15, 1, 5, 45, 204, 532, 819, 743, 390, 114, 17, 1, 6, 55, 285, 876, 1652, 1925, 1375, 590, 146, 19, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Row sums are A113300(n+1). Diagonal sums are A154949.
Product of A154950 and A007318.
LINKS
FORMULA
Number triangle T(n,k) = Sum_{j=0..n+1} C(n+1-j,k+1)*C(k-1,j).
EXAMPLE
Triangle begins
1,
1, 1,
2, 3, 1,
2, 6, 5, 1,
3, 10, 14, 7, 1,
3, 15, 30, 26, 9, 1,
4, 21, 55, 70, 42, 11, 1
CROSSREFS
Sequence in context: A181176 A131108 A128255 * A109091 A138507 A209579
KEYWORD
easy,nonn,tabl
AUTHOR
Paul Barry, Jan 17 2009
EXTENSIONS
a(45)=0 removed by Georg Fischer, Feb 18 2020
STATUS
proposed

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Last modified August 29 09:16 EDT 2024. Contains 375511 sequences. (Running on oeis4.)