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Search: id:A060924
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| A060924 |
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Bisection of Lucas triangle A060922: odd indexed members of column sequences of A060922 (not counting leading zeros). |
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12
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| 3, 7, 6, 18, 38, 9, 47, 158, 120, 12, 123, 566, 753, 280, 15, 322, 1880, 3612, 2568, 545, 18, 843, 5964, 15040, 16220, 7043, 942, 21, 2207, 18342, 57366, 83780, 57560, 16536, 1498, 24, 5778, 55162, 206115
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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Row sums give A060927. Column sequences (without leading zeros) are, for m=0..5: A005248(n+1), 2*A061171, A061172, 4*A061173, A061174, 2*A061175.
Companion triangle A060923 (even part).
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FORMULA
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a(n, m)=A060922(2*n+1-m, m).
a(n, m)=((2*n-m+1)*A060923(n, m-1) + 2*(2*(2*n+1)-3*m)*a(n-1, m-1) + 4*(2*n-m)*A060923(n-1, m-1))/(5*m), m >= n >= 1; a(n, 0)= A0024850(n); else 0.
G.f. for column m >= 0: x^m*pLo(m+1, x)/(1-3*x+x^2)^(m+1), where pLo(n, x) := sum(A061187(n-1, m)*x^m, m=0..n+floor((n-1)/2)) are the row polynomials of the (signed) staircase A061187.
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EXAMPLE
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{3}; {7,6}; {18,38,9}; {47,158,120,12}; .. pLo(2,x)= 2*(3+x-2*x^2).
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CROSSREFS
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Sequence in context: A070882 A109635 A095360 this_sequence A013564 A009467 A131608
Adjacent sequences: A060921 A060922 A060923 this_sequence A060925 A060926 A060927
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Apr 20 2001
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