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Search: id:A154326
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| A154326 |
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Double the internal elements of Pascal's triangle. |
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+0
2
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| 1, 1, 1, 1, 4, 1, 1, 6, 6, 1, 1, 8, 12, 8, 1, 1, 10, 20, 20, 10, 1, 1, 12, 30, 40, 30, 12, 1, 1, 14, 42, 70, 70, 42, 14, 1, 1, 16, 56, 112, 140, 112, 56, 16, 1, 1, 18, 72, 168, 252, 252, 168, 72, 18, 1, 1, 20, 90, 240, 420, 504, 420, 240, 90, 20, 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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Row sums are A095121. Diagonal sums are A154327.
Apparently a duplicate of A141540 and of A132046. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 14 2009]
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FORMULA
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Number triangle T(n,k)=C(n,k)*(2-0^(n-k)-0^k+0^(n+k));
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EXAMPLE
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Triangle begins
1,
1, 1,
1, 4, 1,
1, 6, 6, 1,
1, 8, 12, 8, 1,
1, 10, 20, 20, 10, 1,
1, 12, 30, 40, 30, 12, 1
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CROSSREFS
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T(n,k)=A007318(n,k)*A154325(n,k)
Sequence in context: A159040 A132046 A141540 this_sequence A143188 A102413 A144480
Adjacent sequences: A154323 A154324 A154325 this_sequence A154327 A154328 A154329
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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 07 2009
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