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Search: id:A154221
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| A154221 |
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A simple Pascal-like triangle. |
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+0
3
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| 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 5, 5, 5, 1, 1, 9, 9, 9, 9, 1, 1, 17, 17, 17, 17, 17, 1, 1, 33, 33, 33, 33, 33, 33, 1, 1, 65, 65, 65, 65, 65, 65, 65, 1, 1, 129, 129, 129, 129, 129, 129, 129, 129, 1, 1, 257, 257, 257, 257, 257, 257, 257, 257, 257, 1
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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First column is A094373. Central coefficients are A123166.
Row sums are A154222. Diagonal sums are A154223.
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FORMULA
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T(n,k)=[k<=n]*(1+(2^(k-1)-0^k/2)(2^(n-k-1)-0^(n-k)/2)).
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EXAMPLE
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Triangle begins
1,
1, 1,
1, 2, 1,
1, 3, 3, 1,
1, 5, 5, 5, 1,
1, 9, 9, 9, 9, 1,
1, 17, 17, 17, 17, 17, 1,
1, 33, 33, 33, 33, 33, 33, 1,
1, 65, 65, 65, 65, 65, 65, 65, 1
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CROSSREFS
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Sequence in context: A054450 A053538 A138201 this_sequence A026736 A050446 A144048
Adjacent sequences: A154218 A154219 A154220 this_sequence A154222 A154223 A154224
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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), Jan 05 2009
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