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A117434
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Expansion of c(x*y(1+x)), c(x) the g.f. of A000108.
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4
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1, 0, 1, 0, 1, 2, 0, 0, 4, 5, 0, 0, 2, 15, 14, 0, 0, 0, 15, 56, 42, 0, 0, 0, 5, 84, 210, 132, 0, 0, 0, 0, 56, 420, 792, 429, 0, 0, 0, 0, 14, 420, 1980, 3003, 1430, 0, 0, 0, 0, 0, 210, 2640, 9009, 11440, 4862, 0, 0, 0, 0, 0, 42, 1980, 15015, 40040, 43758, 16796, 0, 0, 0, 0, 0, 0
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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COMMENTS
| Row sums are A052709(n+1). Diagonal sums are A115178. Alternating sign version is A115179.
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FORMULA
| Number triangle T(n,k)=C(k)C(k,n-k).
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EXAMPLE
| Triangle begins
.1,
.0, 1,
.0, 1, 2,
.0, 0, 4, 5,
.0, 0, 2, 15, 14,
.0, 0, 0, 15, 56, 42,
.0, 0, 0, 5, 84, 210, 132,
.0, 0, 0, 0, 56, 420, 792, 429
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CROSSREFS
| Sequence in context: A107498 A094295 A085969 * A115179 A131742 A056676
Adjacent sequences: A117431 A117432 A117433 * A117435 A117436 A117437
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KEYWORD
| easy,nonn,tabl
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Mar 14 2006
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