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Search: id:A156367
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| A156367 |
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Number triangle T(n,k)=C(n+k,2k)*k! |
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+0
2
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| 1, 1, 1, 1, 3, 2, 1, 6, 10, 6, 1, 10, 30, 42, 24, 1, 15, 70, 168, 216, 120, 1, 21, 140, 504, 1080, 1320, 720, 1, 28, 252, 1260, 3960, 7920, 9360, 5040, 1, 36, 420, 2772, 11880, 34320, 65520, 75600, 40320, 1, 45, 660, 5544, 30888, 120120, 327600, 604800
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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Row sums are A155857. Diagonal sums are A084261. Reversal of A155856.
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FORMULA
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G.f.: 1/(1-x-xy/(1-x-xy/(1-x-2xy/(1-x-2xy/(1-x-3xy/(1-x-3xy/(1-... (continued fraction).
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EXAMPLE
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Triangle begins
1,
1, 1,
1, 3, 2,
1, 6, 10, 6,
1, 10, 30, 42, 24,
1, 15, 70, 168, 216, 120,
1, 21, 140, 504, 1080, 1320, 720,
1, 28, 252, 1260, 3960, 7920, 9360, 5040,
1, 36, 420, 2772, 11880, 34320, 65520, 75600, 40320
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CROSSREFS
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Sequence in context: A111049 A088617 A144250 this_sequence A008276 A094638 A143778
Adjacent sequences: A156364 A156365 A156366 this_sequence A156368 A156369 A156370
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Feb 08 2009
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