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Search: id:A060923
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| A060923 |
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Bisection of Lucas triangle A060922: even indexed members of column sequences of A060922 (not counting leading zeros). |
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+0
10
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| 1, 4, 1, 11, 17, 1, 29, 80, 39, 1, 76, 303, 315, 70, 1, 199, 1039, 1687, 905, 110, 1, 521, 3364, 7470, 6666, 2120, 159, 1, 1364, 10493, 29634, 37580, 20965, 4311, 217, 1, 3571, 31885, 109421, 181074, 148545
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Row sums give A060926. Column sequences (without leading zeros) are, for m=0..3: A002878, A060934-6.
Companion triangle A060924 (odd part).
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FORMULA
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a(n, m)=A060922(2*n-m, m).
a(n, m)=((2*(n-m)+1)*A060924(n-1, m-1) + 2*(4*n-3*m)*a(n-1, m-1) + 4*(2*n-m-1)*A060924(n-2, m-1))/(5*m), m >= n >= 1; a(n, 0)= A002878(n); else 0.
G.f. for column m >= 0: x^m*pLe(m+1, x)/(1-3*x+x^2)^(m+1), where pLe(n, x) := sum(A061186(n, m)*x^m, m=0..n+floor(n/2)) are the row polynomials of the (signed) staircase A061186.
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EXAMPLE
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{1}; {4,1}; {11,17,1}; {29,80,39,1}; ...; pLe(2,x)= 1+11*x-11*x^2+4*x^3.
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CROSSREFS
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Sequence in context: A158753 A135552 A109088 this_sequence A143952 A097877 A019304
Adjacent sequences: A060920 A060921 A060922 this_sequence A060924 A060925 A060926
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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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