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Search: id:A038137
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| 1, 1, 1, 1, 2, 2, 1, 3, 5, 3, 1, 4, 9, 10, 5, 1, 5, 14, 22, 20, 8, 1, 6, 20, 40, 51, 38, 13, 1, 7, 27, 65, 105, 11, 71, 21, 1, 8, 35, 98, 190, 256, 233, 130, 34, 1, 9, 44, 140, 315, 511, 594, 474, 235, 55, 1, 10, 54, 192, 490, 924, 1295, 1324, 942, 420, 89, 1, 11, 65, 255
(list; table; graph; listen)
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OFFSET
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0,5
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LINKS
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P. Moree, Convoluted convolved Fibonacci numbers
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FORMULA
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G.f.: 1/(1-x-xy-x^2*y^2); T(n, k)=sum{j=0..n, C((n+j)/2, j)(1+(-1)^(n+j))C(j, n-k)/2}; - Paul Barry (pbarry(AT)wit.ie), Oct 24 2005
T(n,k)=T(n-1,k)+T(n-1,k-1)+T(n-2,k-2), T(n,k)=0 if n<0 or if n<k, T(0,0)=1 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 30 2006
Sum_{k, 0<=k<=n}(-1)^k*T(n,k)=A059841(n) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 30 2006
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EXAMPLE
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Triangle begins
1;
1, 1;
1, 2, 2;
1, 3, 5, 3;
1, 4, 9, 10, 5;
1, 5, 14, 22, 20, 8;
1, 6, 20, 40, 51, 38, 13;
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CROSSREFS
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Row sums are Pell numbers A000129. Diagonal sums are unsigned version of A077930.
Sequence in context: A086350 A140767 A060850 this_sequence A073133 A106179 A081572
Adjacent sequences: A038134 A038135 A038136 this_sequence A038138 A038139 A038140
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Floor van Lamoen (fvlamoen(AT)hotmail.com)
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