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Search: id:A046854
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| A046854 |
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Triangle in which k-th entry of row n is binomial[ Floor[n/2 + k/2], k]. |
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37
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| 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 3, 1, 1, 1, 3, 3, 4, 1, 1, 1, 3, 6, 4, 5, 1, 1, 1, 4, 6, 10, 5, 6, 1, 1, 1, 4, 10, 10, 15, 6, 7, 1, 1, 1, 5, 10, 20, 15, 21, 7, 8, 1, 1, 1, 5, 15, 20, 35, 21, 28, 8, 9, 1, 1, 1, 6, 15, 35, 35, 56, 28, 36, 9, 10, 1, 1, 1, 6, 21, 35, 70, 56, 84, 36, 45
(list; table; graph; listen)
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OFFSET
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0,8
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COMMENT
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Row sums are F(n+2). Diagonal sums are A016116. - Paul Barry (pbarry(AT)wit.ie), Jul 07 2004
Riordan array (1/(1-x), x/(1-x^2)). Matrix inverse is A106180. - Paul Barry (pbarry(AT)wit.ie), Apr 24 2005
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FORMULA
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G.f.: (1+x) / (1-xy-x^2). - Ralf Stephan, Feb 13 2005
Triangle = A097806 * A049310, as infinite lower triangular matrices. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Oct 28 2007
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EXAMPLE
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{1}, {1, 1}, {1, 1, 1}, {1, 2, 1, 1}, {1, 2, 3, 1, 1}, ...
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MATHEMATICA
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Table[ Binomial[ Floor[ n/2 +k/2 ], k ], {n, 0, 16}, {k, 0, n} ]
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CROSSREFS
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Reflected version of A065941, which is considered the main entry. Probably a signed version is A066170. A deficient version is in A030111.
Cf. A066170.
Cf. A097806, A049310.
Adjacent sequences: A046851 A046852 A046853 this_sequence A046855 A046856 A046857
Sequence in context: A096670 A130461 A130777 this_sequence A066170 A071773 A000188
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be)
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