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Search: id:A108756
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| A108756 |
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A triangle related to the Jacobsthal polynomials. |
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+0
3
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| 1, 1, 1, 1, 1, 1, 2, 3, 1, 1, 1, 4, 5, 1, 1, 3, 6, 6, 7, 1, 1, 1, 10, 15, 8, 9, 1, 1, 4, 10, 21, 28, 10, 11, 1, 1, 1, 20, 35, 36, 45, 12, 13, 1, 1, 5, 15, 56, 84, 55, 66, 14, 15, 1, 1, 1, 35, 70, 120, 165, 78, 91, 16, 17, 1, 1, 6, 21, 126, 210, 220, 286, 105, 120, 18, 19, 1, 1, 1, 56
(list; table; graph; listen)
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OFFSET
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0,7
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COMMENT
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Riordan array ((1+x-x^2)/(1-x^2)^2, x/(1-x^2)^2). Row sums are A108742. Diagonal sums are F(n+1). Corresponding diagonals triangle is A102426.
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LINKS
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D. Stutson, V. Kocic and G. Arora, A Few Identities involving Jacobsthal polynomials.
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FORMULA
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Number triangle T(n, k)=binomial(floor((n+k+1)/2)+k, floor((n+k)/2-k)
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EXAMPLE
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Rows begin
1;
1,1;
1,1,1;
2,3,1,1;
1,4,5,1,1;
3,6,6,7,1,1;
1,10,15,8,9,1,1;
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CROSSREFS
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Sequence in context: A094006 A140188 A140737 this_sequence A106178 A108714 A135508
Adjacent sequences: A108753 A108754 A108755 this_sequence A108757 A108758 A108759
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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), Jun 22 2005
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