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Search: id:A136482
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| A136482 |
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Triangle read by rows: T(n,k) = 2*A007318(n,k) - A034851(n,k) (i.e. twice Pascal's triangle - the Losanitch triangle). |
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2
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| 1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 6, 8, 6, 1, 1, 7, 14, 14, 7, 1, 1, 9, 21, 30, 21, 9, 1, 1, 10, 30, 51, 51, 30, 10, 1, 1, 12, 40, 84, 102, 84, 40, 12, 1, 1, 13, 52, 124, 186, 186, 124, 52, 13, 1, 1, 15, 65, 180, 310, 378, 310, 180, 65, 15, 1, 1, 16, 80, 245, 490, 688, 688, 490, 245
(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 apparently in A135098. - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 01 2008
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EXAMPLE
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Row n=3 is 2*(1,3,3,1) - (1,2,2,1) = (1,4,4,1).
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MAPLE
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A007318 := proc(n, k) binomial(n, k) ; end: A051159 := proc(n, k) binomial(n mod 2, k mod 2)*binomial(floor(n/2), floor(k/2)) ; end: A034851 := proc(n, k) (A007318(n, k)+A051159(n, k))/2 ; end: A136482 := proc(n, k) 2*A007318(n, k)-A034851(n, k) ; end: for n from 0 to 13 do for k from 0 to n do printf("%d, ", A136482(n, k)) ; od: od: - R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 01 2008
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CROSSREFS
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Cf. A007318, A034851, A136489.
Sequence in context: A026670 A131402 A026626 this_sequence A026648 A026747 A026374
Adjacent sequences: A136479 A136480 A136481 this_sequence A136483 A136484 A136485
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Dec 31 2007
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EXTENSIONS
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Edited and corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), May 01 2008
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